What is the Least Common Multiple of 79185 and 79190?

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 79185 and 79190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79185 and 79190, than apply into the LCM equation.

GCF(79185,79190) = 5
LCM(79185,79190) = ( 79185 × 79190) / 5
LCM(79185,79190) = 6270660150 / 5
LCM(79185,79190) = 1254132030

Least Common Multiple (LCM) of 79185 and 79190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79185 and 79190. First we will calculate the prime factors of 79185 and 79190.

Prime Factorization of 79185

Prime Factorization of 79190

Now multiplying the highest exponent prime factors to calculate the LCM of 79185 and 79190.

LCM(79185,79190) = 3¹ × 5¹ × 5279¹ × 2¹ × 7919¹
LCM(79185,79190) = 1254132030