What is the Least Common Multiple of 77610 and 77627?

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 77610 and 77627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77610 and 77627, than apply into the LCM equation.

GCF(77610,77627) = 1
LCM(77610,77627) = ( 77610 × 77627) / 1
LCM(77610,77627) = 6024631470 / 1
LCM(77610,77627) = 6024631470

Least Common Multiple (LCM) of 77610 and 77627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77610 and 77627. First we will calculate the prime factors of 77610 and 77627.

Prime Factorization of 77610

Prime Factorization of 77627

Now multiplying the highest exponent prime factors to calculate the LCM of 77610 and 77627.

LCM(77610,77627) = 2¹ × 3¹ × 5¹ × 13¹ × 199¹ × 11¹ × 7057¹
LCM(77610,77627) = 6024631470