What is the Least Common Multiple of 64107 and 64125?

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 64107 and 64125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64107 and 64125, than apply into the LCM equation.

GCF(64107,64125) = 9
LCM(64107,64125) = ( 64107 × 64125) / 9
LCM(64107,64125) = 4110861375 / 9
LCM(64107,64125) = 456762375

Least Common Multiple (LCM) of 64107 and 64125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64107 and 64125. First we will calculate the prime factors of 64107 and 64125.

Prime Factorization of 64107

Prime Factorization of 64125

Now multiplying the highest exponent prime factors to calculate the LCM of 64107 and 64125.

LCM(64107,64125) = 3³ × 17¹ × 419¹ × 5³ × 19¹
LCM(64107,64125) = 456762375