What is the Least Common Multiple of 77574 and 77592?

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 77574 and 77592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77574 and 77592, than apply into the LCM equation.

GCF(77574,77592) = 6
LCM(77574,77592) = ( 77574 × 77592) / 6
LCM(77574,77592) = 6019121808 / 6
LCM(77574,77592) = 1003186968

Least Common Multiple (LCM) of 77574 and 77592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77574 and 77592. First we will calculate the prime factors of 77574 and 77592.

Prime Factorization of 77574

Prime Factorization of 77592

Now multiplying the highest exponent prime factors to calculate the LCM of 77574 and 77592.

LCM(77574,77592) = 2³ × 3¹ × 7¹ × 1847¹ × 53¹ × 61¹
LCM(77574,77592) = 1003186968