What is the Least Common Multiple of 83538 and 83552?

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 83538 and 83552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83538 and 83552, than apply into the LCM equation.

GCF(83538,83552) = 14
LCM(83538,83552) = ( 83538 × 83552) / 14
LCM(83538,83552) = 6979766976 / 14
LCM(83538,83552) = 498554784

Least Common Multiple (LCM) of 83538 and 83552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83538 and 83552. First we will calculate the prime factors of 83538 and 83552.

Prime Factorization of 83538

Prime Factorization of 83552

Now multiplying the highest exponent prime factors to calculate the LCM of 83538 and 83552.

LCM(83538,83552) = 2⁵ × 3³ × 7¹ × 13¹ × 17¹ × 373¹
LCM(83538,83552) = 498554784