What is the Least Common Multiple of 57152 and 57171?

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 57152 and 57171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57152 and 57171, than apply into the LCM equation.

GCF(57152,57171) = 19
LCM(57152,57171) = ( 57152 × 57171) / 19
LCM(57152,57171) = 3267436992 / 19
LCM(57152,57171) = 171970368

Least Common Multiple (LCM) of 57152 and 57171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57152 and 57171. First we will calculate the prime factors of 57152 and 57171.

Prime Factorization of 57152

Prime Factorization of 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 57152 and 57171.

LCM(57152,57171) = 2⁶ × 19¹ × 47¹ × 3¹ × 17¹ × 59¹
LCM(57152,57171) = 171970368