What is the Least Common Multiple of 62855 and 62875?

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 62855 and 62875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62855 and 62875, than apply into the LCM equation.

GCF(62855,62875) = 5
LCM(62855,62875) = ( 62855 × 62875) / 5
LCM(62855,62875) = 3952008125 / 5
LCM(62855,62875) = 790401625

Least Common Multiple (LCM) of 62855 and 62875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62855 and 62875. First we will calculate the prime factors of 62855 and 62875.

Prime Factorization of 62855

Prime Factorization of 62875

Now multiplying the highest exponent prime factors to calculate the LCM of 62855 and 62875.

LCM(62855,62875) = 5³ × 13¹ × 967¹ × 503¹
LCM(62855,62875) = 790401625