What is the Least Common Multiple of 79131 and 79142?

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 79131 and 79142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79131 and 79142, than apply into the LCM equation.

GCF(79131,79142) = 1
LCM(79131,79142) = ( 79131 × 79142) / 1
LCM(79131,79142) = 6262585602 / 1
LCM(79131,79142) = 6262585602

Least Common Multiple (LCM) of 79131 and 79142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79131 and 79142. First we will calculate the prime factors of 79131 and 79142.

Prime Factorization of 79131

Prime Factorization of 79142

Now multiplying the highest exponent prime factors to calculate the LCM of 79131 and 79142.

LCM(79131,79142) = 3¹ × 13¹ × 2029¹ × 2¹ × 7¹ × 5653¹
LCM(79131,79142) = 6262585602