What is the Least Common Multiple of 77736 and 77748?

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 77736 and 77748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77736 and 77748, than apply into the LCM equation.

GCF(77736,77748) = 12
LCM(77736,77748) = ( 77736 × 77748) / 12
LCM(77736,77748) = 6043818528 / 12
LCM(77736,77748) = 503651544

Least Common Multiple (LCM) of 77736 and 77748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77736 and 77748. First we will calculate the prime factors of 77736 and 77748.

Prime Factorization of 77736

Prime Factorization of 77748

Now multiplying the highest exponent prime factors to calculate the LCM of 77736 and 77748.

LCM(77736,77748) = 2³ × 3¹ × 41¹ × 79¹ × 11¹ × 19¹ × 31¹
LCM(77736,77748) = 503651544