What is the Least Common Multiple of 57148 and 57166?

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 57148 and 57166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57148 and 57166, than apply into the LCM equation.

GCF(57148,57166) = 2
LCM(57148,57166) = ( 57148 × 57166) / 2
LCM(57148,57166) = 3266922568 / 2
LCM(57148,57166) = 1633461284

Least Common Multiple (LCM) of 57148 and 57166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57148 and 57166. First we will calculate the prime factors of 57148 and 57166.

Prime Factorization of 57148

Prime Factorization of 57166

Now multiplying the highest exponent prime factors to calculate the LCM of 57148 and 57166.

LCM(57148,57166) = 2² × 7¹ × 13¹ × 157¹ × 101¹ × 283¹
LCM(57148,57166) = 1633461284