What is the Least Common Multiple of 36625 and 36645?

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 36625 and 36645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36625 and 36645, than apply into the LCM equation.

GCF(36625,36645) = 5
LCM(36625,36645) = ( 36625 × 36645) / 5
LCM(36625,36645) = 1342123125 / 5
LCM(36625,36645) = 268424625

Least Common Multiple (LCM) of 36625 and 36645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36625 and 36645. First we will calculate the prime factors of 36625 and 36645.

Prime Factorization of 36625

Prime Factorization of 36645

Now multiplying the highest exponent prime factors to calculate the LCM of 36625 and 36645.

LCM(36625,36645) = 5³ × 293¹ × 3¹ × 7¹ × 349¹
LCM(36625,36645) = 268424625