What is the Least Common Multiple of 77493 and 77511?

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 77493 and 77511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77493 and 77511, than apply into the LCM equation.

GCF(77493,77511) = 3
LCM(77493,77511) = ( 77493 × 77511) / 3
LCM(77493,77511) = 6006559923 / 3
LCM(77493,77511) = 2002186641

Least Common Multiple (LCM) of 77493 and 77511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77493 and 77511. First we will calculate the prime factors of 77493 and 77511.

Prime Factorization of 77493

Prime Factorization of 77511

Now multiplying the highest exponent prime factors to calculate the LCM of 77493 and 77511.

LCM(77493,77511) = 3¹ × 13¹ × 1987¹ × 7¹ × 3691¹
LCM(77493,77511) = 2002186641