What is the Least Common Multiple of 59955 and 59975?

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 59955 and 59975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59955 and 59975, than apply into the LCM equation.

GCF(59955,59975) = 5
LCM(59955,59975) = ( 59955 × 59975) / 5
LCM(59955,59975) = 3595801125 / 5
LCM(59955,59975) = 719160225

Least Common Multiple (LCM) of 59955 and 59975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59955 and 59975. First we will calculate the prime factors of 59955 and 59975.

Prime Factorization of 59955

Prime Factorization of 59975

Now multiplying the highest exponent prime factors to calculate the LCM of 59955 and 59975.

LCM(59955,59975) = 3¹ × 5² × 7¹ × 571¹ × 2399¹
LCM(59955,59975) = 719160225