Question

The LCM of 672 and 7056 is ___________.

• A. 14112
• B. 42336
• C. 28224
• D. 7056

Answer 1

Answer:

A. 14112

First find the prime factorization of both numbers:

672
$(672 = 2^5 \times 3 \times 7)$

7056
$(7056 = 2^4 \times 3^2 \times 7^2)$

Now take the highest power of each prime:

$(2^5)$

$(3^2)$

$(7^2)$

$\text{LCM} = 2^5 \times 3^2 \times 7^2$
$= 32 \times 9 \times 49$
$= 14112$