NCERT · Class 10 · Mathematics · Real NumbersFind the LCM of 72 and 120 using prime factorization.

To find the LCM of 72 and 120, we find their prime factorizations. The prime factorization of 72 is $2^3 \times 3^2$, and the prime factorization of 120 is $2^3 \times 3 \times 5$. The LCM is calculated by taking the product of the highest power of each prime factor involved in the numbers, which gives $2^3 \times 3^2 \times 5 = 8 \times 9 \times 5 = 360$.