What is the Least Common Multiple of 77646 and 77660?

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 77646 and 77660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77646 and 77660, than apply into the LCM equation.

GCF(77646,77660) = 2
LCM(77646,77660) = ( 77646 × 77660) / 2
LCM(77646,77660) = 6029988360 / 2
LCM(77646,77660) = 3014994180

Least Common Multiple (LCM) of 77646 and 77660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77646 and 77660. First we will calculate the prime factors of 77646 and 77660.

Prime Factorization of 77646

Prime Factorization of 77660

Now multiplying the highest exponent prime factors to calculate the LCM of 77646 and 77660.

LCM(77646,77660) = 2² × 3¹ × 12941¹ × 5¹ × 11¹ × 353¹
LCM(77646,77660) = 3014994180