What is the Least Common Multiple of 79275 and 79293?

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 79275 and 79293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79275 and 79293, than apply into the LCM equation.

GCF(79275,79293) = 3
LCM(79275,79293) = ( 79275 × 79293) / 3
LCM(79275,79293) = 6285952575 / 3
LCM(79275,79293) = 2095317525

Least Common Multiple (LCM) of 79275 and 79293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79275 and 79293. First we will calculate the prime factors of 79275 and 79293.

Prime Factorization of 79275

Prime Factorization of 79293

Now multiplying the highest exponent prime factors to calculate the LCM of 79275 and 79293.

LCM(79275,79293) = 3¹ × 5² × 7¹ × 151¹ × 26431¹
LCM(79275,79293) = 2095317525