What is the Least Common Multiple of 77720 and 77736?

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 77720 and 77736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77720 and 77736, than apply into the LCM equation.

GCF(77720,77736) = 8
LCM(77720,77736) = ( 77720 × 77736) / 8
LCM(77720,77736) = 6041641920 / 8
LCM(77720,77736) = 755205240

Least Common Multiple (LCM) of 77720 and 77736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77720 and 77736. First we will calculate the prime factors of 77720 and 77736.

Prime Factorization of 77720

Prime Factorization of 77736

Now multiplying the highest exponent prime factors to calculate the LCM of 77720 and 77736.

LCM(77720,77736) = 2³ × 5¹ × 29¹ × 67¹ × 3¹ × 41¹ × 79¹
LCM(77720,77736) = 755205240