What is the Least Common Multiple of 79110 and 79125?

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 79110 and 79125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79110 and 79125, than apply into the LCM equation.

GCF(79110,79125) = 15
LCM(79110,79125) = ( 79110 × 79125) / 15
LCM(79110,79125) = 6259578750 / 15
LCM(79110,79125) = 417305250

Least Common Multiple (LCM) of 79110 and 79125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79110 and 79125. First we will calculate the prime factors of 79110 and 79125.

Prime Factorization of 79110

Prime Factorization of 79125

Now multiplying the highest exponent prime factors to calculate the LCM of 79110 and 79125.

LCM(79110,79125) = 2¹ × 3³ × 5³ × 293¹ × 211¹
LCM(79110,79125) = 417305250