What is the Least Common Multiple of 57917 and 57921?

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 57917 and 57921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57917 and 57921, than apply into the LCM equation.

GCF(57917,57921) = 1
LCM(57917,57921) = ( 57917 × 57921) / 1
LCM(57917,57921) = 3354610557 / 1
LCM(57917,57921) = 3354610557

Least Common Multiple (LCM) of 57917 and 57921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57917 and 57921. First we will calculate the prime factors of 57917 and 57921.

Prime Factorization of 57917

Prime Factorization of 57921

Now multiplying the highest exponent prime factors to calculate the LCM of 57917 and 57921.

LCM(57917,57921) = 57917¹ × 3¹ × 43¹ × 449¹
LCM(57917,57921) = 3354610557