What is the Least Common Multiple of 81616 and 81629?

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 81616 and 81629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81616 and 81629, than apply into the LCM equation.

GCF(81616,81629) = 1
LCM(81616,81629) = ( 81616 × 81629) / 1
LCM(81616,81629) = 6662232464 / 1
LCM(81616,81629) = 6662232464

Least Common Multiple (LCM) of 81616 and 81629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81616 and 81629. First we will calculate the prime factors of 81616 and 81629.

Prime Factorization of 81616

Prime Factorization of 81629

Now multiplying the highest exponent prime factors to calculate the LCM of 81616 and 81629.

LCM(81616,81629) = 2⁴ × 5101¹ × 81629¹
LCM(81616,81629) = 6662232464