What is the Least Common Multiple of 83556 and 83572?

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 83556 and 83572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83556 and 83572, than apply into the LCM equation.

GCF(83556,83572) = 4
LCM(83556,83572) = ( 83556 × 83572) / 4
LCM(83556,83572) = 6982942032 / 4
LCM(83556,83572) = 1745735508

Least Common Multiple (LCM) of 83556 and 83572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83556 and 83572. First we will calculate the prime factors of 83556 and 83572.

Prime Factorization of 83556

Prime Factorization of 83572

Now multiplying the highest exponent prime factors to calculate the LCM of 83556 and 83572.

LCM(83556,83572) = 2² × 3² × 11¹ × 211¹ × 17¹ × 1229¹
LCM(83556,83572) = 1745735508