What is the Least Common Multiple of 71619 and 71627?

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 71619 and 71627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71619 and 71627, than apply into the LCM equation.

GCF(71619,71627) = 1
LCM(71619,71627) = ( 71619 × 71627) / 1
LCM(71619,71627) = 5129854113 / 1
LCM(71619,71627) = 5129854113

Least Common Multiple (LCM) of 71619 and 71627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71619 and 71627. First we will calculate the prime factors of 71619 and 71627.

Prime Factorization of 71619

Prime Factorization of 71627

Now multiplying the highest exponent prime factors to calculate the LCM of 71619 and 71627.

LCM(71619,71627) = 3¹ × 23873¹ × 41¹ × 1747¹
LCM(71619,71627) = 5129854113