What is the Least Common Multiple of 83120 and 83132?

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 83120 and 83132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83120 and 83132, than apply into the LCM equation.

GCF(83120,83132) = 4
LCM(83120,83132) = ( 83120 × 83132) / 4
LCM(83120,83132) = 6909931840 / 4
LCM(83120,83132) = 1727482960

Least Common Multiple (LCM) of 83120 and 83132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83120 and 83132. First we will calculate the prime factors of 83120 and 83132.

Prime Factorization of 83120

Prime Factorization of 83132

Now multiplying the highest exponent prime factors to calculate the LCM of 83120 and 83132.

LCM(83120,83132) = 2⁴ × 5¹ × 1039¹ × 7¹ × 2969¹
LCM(83120,83132) = 1727482960