What is the Least Common Multiple of 67110 and 67125?

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 67110 and 67125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67110 and 67125, than apply into the LCM equation.

GCF(67110,67125) = 15
LCM(67110,67125) = ( 67110 × 67125) / 15
LCM(67110,67125) = 4504758750 / 15
LCM(67110,67125) = 300317250

Least Common Multiple (LCM) of 67110 and 67125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67110 and 67125. First we will calculate the prime factors of 67110 and 67125.

Prime Factorization of 67110

Prime Factorization of 67125

Now multiplying the highest exponent prime factors to calculate the LCM of 67110 and 67125.

LCM(67110,67125) = 2¹ × 3¹ × 5³ × 2237¹ × 179¹
LCM(67110,67125) = 300317250