What is the Least Common Multiple of 57152 and 57172?

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 57172 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 57172, than apply into the LCM equation.

GCF(57152,57172) = 4
LCM(57152,57172) = ( 57152 × 57172) / 4
LCM(57152,57172) = 3267494144 / 4
LCM(57152,57172) = 816873536

Least Common Multiple (LCM) of 57152 and 57172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57152 and 57172. First we will calculate the prime factors of 57152 and 57172.

Prime Factorization of 57152

Prime Factorization of 57172

Now multiplying the highest exponent prime factors to calculate the LCM of 57152 and 57172.

LCM(57152,57172) = 2⁶ × 19¹ × 47¹ × 14293¹
LCM(57152,57172) = 816873536