What is the Least Common Multiple of 83616 and 83628?

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 83628 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 83628, than apply into the LCM equation.

GCF(83616,83628) = 12
LCM(83616,83628) = ( 83616 × 83628) / 12
LCM(83616,83628) = 6992638848 / 12
LCM(83616,83628) = 582719904

Least Common Multiple (LCM) of 83616 and 83628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83616 and 83628. First we will calculate the prime factors of 83616 and 83628.

Prime Factorization of 83616

Prime Factorization of 83628

Now multiplying the highest exponent prime factors to calculate the LCM of 83616 and 83628.

LCM(83616,83628) = 2⁵ × 3² × 13¹ × 67¹ × 23¹ × 101¹
LCM(83616,83628) = 582719904