What is the Least Common Multiple of 23625 and 23632?

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 23625 and 23632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23625 and 23632, than apply into the LCM equation.

GCF(23625,23632) = 7
LCM(23625,23632) = ( 23625 × 23632) / 7
LCM(23625,23632) = 558306000 / 7
LCM(23625,23632) = 79758000

Least Common Multiple (LCM) of 23625 and 23632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23625 and 23632. First we will calculate the prime factors of 23625 and 23632.

Prime Factorization of 23625

Prime Factorization of 23632

Now multiplying the highest exponent prime factors to calculate the LCM of 23625 and 23632.

LCM(23625,23632) = 3³ × 5³ × 7¹ × 2⁴ × 211¹
LCM(23625,23632) = 79758000