What is the Least Common Multiple of 57948 and 57959?

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 57948 and 57959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57948 and 57959, than apply into the LCM equation.

GCF(57948,57959) = 11
LCM(57948,57959) = ( 57948 × 57959) / 11
LCM(57948,57959) = 3358608132 / 11
LCM(57948,57959) = 305328012

Least Common Multiple (LCM) of 57948 and 57959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57948 and 57959. First we will calculate the prime factors of 57948 and 57959.

Prime Factorization of 57948

Prime Factorization of 57959

Now multiplying the highest exponent prime factors to calculate the LCM of 57948 and 57959.

LCM(57948,57959) = 2² × 3¹ × 11² × 439¹ × 479¹
LCM(57948,57959) = 305328012