What is the Least Common Multiple of 77592 and 77610?

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 77592 and 77610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77592 and 77610, than apply into the LCM equation.

GCF(77592,77610) = 6
LCM(77592,77610) = ( 77592 × 77610) / 6
LCM(77592,77610) = 6021915120 / 6
LCM(77592,77610) = 1003652520

Least Common Multiple (LCM) of 77592 and 77610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77592 and 77610. First we will calculate the prime factors of 77592 and 77610.

Prime Factorization of 77592

Prime Factorization of 77610

Now multiplying the highest exponent prime factors to calculate the LCM of 77592 and 77610.

LCM(77592,77610) = 2³ × 3¹ × 53¹ × 61¹ × 5¹ × 13¹ × 199¹
LCM(77592,77610) = 1003652520