What is the Least Common Multiple of 77124 and 77140?

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 77124 and 77140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77124 and 77140, than apply into the LCM equation.

GCF(77124,77140) = 4
LCM(77124,77140) = ( 77124 × 77140) / 4
LCM(77124,77140) = 5949345360 / 4
LCM(77124,77140) = 1487336340

Least Common Multiple (LCM) of 77124 and 77140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77124 and 77140. First we will calculate the prime factors of 77124 and 77140.

Prime Factorization of 77124

Prime Factorization of 77140

Now multiplying the highest exponent prime factors to calculate the LCM of 77124 and 77140.

LCM(77124,77140) = 2² × 3¹ × 6427¹ × 5¹ × 7¹ × 19¹ × 29¹
LCM(77124,77140) = 1487336340