What is the Least Common Multiple of 77606 and 77619?

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 77606 and 77619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77606 and 77619, than apply into the LCM equation.

GCF(77606,77619) = 1
LCM(77606,77619) = ( 77606 × 77619) / 1
LCM(77606,77619) = 6023700114 / 1
LCM(77606,77619) = 6023700114

Least Common Multiple (LCM) of 77606 and 77619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77606 and 77619. First we will calculate the prime factors of 77606 and 77619.

Prime Factorization of 77606

Prime Factorization of 77619

Now multiplying the highest exponent prime factors to calculate the LCM of 77606 and 77619.

LCM(77606,77619) = 2¹ × 38803¹ × 3¹ × 25873¹
LCM(77606,77619) = 6023700114