What is the Least Common Multiple of 82944 and 82962?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82944 and 82962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82944 and 82962, than apply into the LCM equation.

GCF(82944,82962) = 18
LCM(82944,82962) = ( 82944 × 82962) / 18
LCM(82944,82962) = 6881200128 / 18
LCM(82944,82962) = 382288896

Least Common Multiple (LCM) of 82944 and 82962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82944 and 82962. First we will calculate the prime factors of 82944 and 82962.

Prime Factorization of 82944

Prime Factorization of 82962

Now multiplying the highest exponent prime factors to calculate the LCM of 82944 and 82962.

LCM(82944,82962) = 2¹⁰ × 3⁴ × 11¹ × 419¹
LCM(82944,82962) = 382288896