What is the Least Common Multiple of 77595 and 77607?

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 77595 and 77607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77595 and 77607, than apply into the LCM equation.

GCF(77595,77607) = 3
LCM(77595,77607) = ( 77595 × 77607) / 3
LCM(77595,77607) = 6021915165 / 3
LCM(77595,77607) = 2007305055

Least Common Multiple (LCM) of 77595 and 77607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77595 and 77607. First we will calculate the prime factors of 77595 and 77607.

Prime Factorization of 77595

Prime Factorization of 77607

Now multiplying the highest exponent prime factors to calculate the LCM of 77595 and 77607.

LCM(77595,77607) = 3² × 5¹ × 7¹ × 739¹ × 8623¹
LCM(77595,77607) = 2007305055