What is the Least Common Multiple of 60875 and 60895?

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 60875 and 60895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60875 and 60895, than apply into the LCM equation.

GCF(60875,60895) = 5
LCM(60875,60895) = ( 60875 × 60895) / 5
LCM(60875,60895) = 3706983125 / 5
LCM(60875,60895) = 741396625

Least Common Multiple (LCM) of 60875 and 60895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60875 and 60895. First we will calculate the prime factors of 60875 and 60895.

Prime Factorization of 60875

Prime Factorization of 60895

Now multiplying the highest exponent prime factors to calculate the LCM of 60875 and 60895.

LCM(60875,60895) = 5³ × 487¹ × 19¹ × 641¹
LCM(60875,60895) = 741396625