What is the Least Common Multiple of 79119 and 79131?

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 79119 and 79131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79119 and 79131, than apply into the LCM equation.

GCF(79119,79131) = 3
LCM(79119,79131) = ( 79119 × 79131) / 3
LCM(79119,79131) = 6260765589 / 3
LCM(79119,79131) = 2086921863

Least Common Multiple (LCM) of 79119 and 79131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79119 and 79131. First we will calculate the prime factors of 79119 and 79131.

Prime Factorization of 79119

Prime Factorization of 79131

Now multiplying the highest exponent prime factors to calculate the LCM of 79119 and 79131.

LCM(79119,79131) = 3² × 59¹ × 149¹ × 13¹ × 2029¹
LCM(79119,79131) = 2086921863