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Example1

Title: Least common multiple

Grade 6+ Lesson s1-l3

Explanation: The best way to understand measurement is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Find the least common multiple for the following numbers:
32 and 68

Step 1

Certainly, let’s find the least common multiple (LCM) of 32 and 68 using the prime factorization method.
Prime factorization of 32:
\$ 32 = 2^5 \$
Prime factorization of 68:
\$ 68 = 2^2 \times 17 \$

Explanation:

Here we break down both numbers into their prime factors.

Step 2

Identify the highest power of each prime factor:
The highest power of 2 is \$2^5\$.
The highest power of 17 is \$17^1\$.

Explanation:

In this context, we denote the greatest exponent of prime factors.

Step 3

Multiply these highest powers together:
LCM(32, 68) = \$ 2^(5) \times 17^(1) = 32 \times 17 \$ = 544
So, the least common multiple of 32 and 68 using the prime factorization method is 544.

Explanation:

Let’s multiply the highest powers that have each number. Then we get 544.