What is the Least Common Multiple of 64125 and 64145?

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 64125 and 64145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64125 and 64145, than apply into the LCM equation.

GCF(64125,64145) = 5
LCM(64125,64145) = ( 64125 × 64145) / 5
LCM(64125,64145) = 4113298125 / 5
LCM(64125,64145) = 822659625

Least Common Multiple (LCM) of 64125 and 64145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64125 and 64145. First we will calculate the prime factors of 64125 and 64145.

Prime Factorization of 64125

Prime Factorization of 64145

Now multiplying the highest exponent prime factors to calculate the LCM of 64125 and 64145.

LCM(64125,64145) = 3³ × 5³ × 19¹ × 12829¹
LCM(64125,64145) = 822659625