What is the Least Common Multiple of 57156 and 57167?

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 57156 and 57167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57156 and 57167, than apply into the LCM equation.

GCF(57156,57167) = 11
LCM(57156,57167) = ( 57156 × 57167) / 11
LCM(57156,57167) = 3267437052 / 11
LCM(57156,57167) = 297039732

Least Common Multiple (LCM) of 57156 and 57167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57156 and 57167. First we will calculate the prime factors of 57156 and 57167.

Prime Factorization of 57156

Prime Factorization of 57167

Now multiplying the highest exponent prime factors to calculate the LCM of 57156 and 57167.

LCM(57156,57167) = 2² × 3¹ × 11¹ × 433¹ × 5197¹
LCM(57156,57167) = 297039732