What is the Least Common Multiple of 36715 and 36725?

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 36715 and 36725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36715 and 36725, than apply into the LCM equation.

GCF(36715,36725) = 5
LCM(36715,36725) = ( 36715 × 36725) / 5
LCM(36715,36725) = 1348358375 / 5
LCM(36715,36725) = 269671675

Least Common Multiple (LCM) of 36715 and 36725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36715 and 36725. First we will calculate the prime factors of 36715 and 36725.

Prime Factorization of 36715

Prime Factorization of 36725

Now multiplying the highest exponent prime factors to calculate the LCM of 36715 and 36725.

LCM(36715,36725) = 5² × 7¹ × 1049¹ × 13¹ × 113¹
LCM(36715,36725) = 269671675