What is the Least Common Multiple of 83616 and 83624?

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 83616 and 83624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83616 and 83624, than apply into the LCM equation.

GCF(83616,83624) = 8
LCM(83616,83624) = ( 83616 × 83624) / 8
LCM(83616,83624) = 6992304384 / 8
LCM(83616,83624) = 874038048

Least Common Multiple (LCM) of 83616 and 83624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83616 and 83624. First we will calculate the prime factors of 83616 and 83624.

Prime Factorization of 83616

Prime Factorization of 83624

Now multiplying the highest exponent prime factors to calculate the LCM of 83616 and 83624.

LCM(83616,83624) = 2⁵ × 3¹ × 13¹ × 67¹ × 10453¹
LCM(83616,83624) = 874038048