What is the Least Common Multiple of 79263 and 79275?

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 79263 and 79275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79263 and 79275, than apply into the LCM equation.

GCF(79263,79275) = 3
LCM(79263,79275) = ( 79263 × 79275) / 3
LCM(79263,79275) = 6283574325 / 3
LCM(79263,79275) = 2094524775

Least Common Multiple (LCM) of 79263 and 79275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79263 and 79275. First we will calculate the prime factors of 79263 and 79275.

Prime Factorization of 79263

Prime Factorization of 79275

Now multiplying the highest exponent prime factors to calculate the LCM of 79263 and 79275.

LCM(79263,79275) = 3² × 8807¹ × 5² × 7¹ × 151¹
LCM(79263,79275) = 2094524775