What is the Least Common Multiple of 77130 and 77138?

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 77130 and 77138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77130 and 77138, than apply into the LCM equation.

GCF(77130,77138) = 2
LCM(77130,77138) = ( 77130 × 77138) / 2
LCM(77130,77138) = 5949653940 / 2
LCM(77130,77138) = 2974826970

Least Common Multiple (LCM) of 77130 and 77138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77130 and 77138. First we will calculate the prime factors of 77130 and 77138.

Prime Factorization of 77130

Prime Factorization of 77138

Now multiplying the highest exponent prime factors to calculate the LCM of 77130 and 77138.

LCM(77130,77138) = 2¹ × 3² × 5¹ × 857¹ × 38569¹
LCM(77130,77138) = 2974826970