What is the Least Common Multiple of 79165 and 79180?

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 79165 and 79180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79165 and 79180, than apply into the LCM equation.

GCF(79165,79180) = 5
LCM(79165,79180) = ( 79165 × 79180) / 5
LCM(79165,79180) = 6268284700 / 5
LCM(79165,79180) = 1253656940

Least Common Multiple (LCM) of 79165 and 79180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79165 and 79180. First we will calculate the prime factors of 79165 and 79180.

Prime Factorization of 79165

Prime Factorization of 79180

Now multiplying the highest exponent prime factors to calculate the LCM of 79165 and 79180.

LCM(79165,79180) = 5¹ × 71¹ × 223¹ × 2² × 37¹ × 107¹
LCM(79165,79180) = 1253656940