What is the Least Common Multiple of 83100 and 83120?

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 83100 and 83120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83100 and 83120, than apply into the LCM equation.

GCF(83100,83120) = 20
LCM(83100,83120) = ( 83100 × 83120) / 20
LCM(83100,83120) = 6907272000 / 20
LCM(83100,83120) = 345363600

Least Common Multiple (LCM) of 83100 and 83120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83100 and 83120. First we will calculate the prime factors of 83100 and 83120.

Prime Factorization of 83100

Prime Factorization of 83120

Now multiplying the highest exponent prime factors to calculate the LCM of 83100 and 83120.

LCM(83100,83120) = 2⁴ × 3¹ × 5² × 277¹ × 1039¹
LCM(83100,83120) = 345363600