What is the Least Common Multiple of 79205 and 79215?

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 79205 and 79215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79205 and 79215, than apply into the LCM equation.

GCF(79205,79215) = 5
LCM(79205,79215) = ( 79205 × 79215) / 5
LCM(79205,79215) = 6274224075 / 5
LCM(79205,79215) = 1254844815

Least Common Multiple (LCM) of 79205 and 79215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79205 and 79215. First we will calculate the prime factors of 79205 and 79215.

Prime Factorization of 79205

Prime Factorization of 79215

Now multiplying the highest exponent prime factors to calculate the LCM of 79205 and 79215.

LCM(79205,79215) = 5¹ × 7¹ × 31¹ × 73¹ × 3¹ × 5281¹
LCM(79205,79215) = 1254844815