What is the Least Common Multiple of 57189 and 57196?

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 57189 and 57196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57189 and 57196, than apply into the LCM equation.

GCF(57189,57196) = 1
LCM(57189,57196) = ( 57189 × 57196) / 1
LCM(57189,57196) = 3270982044 / 1
LCM(57189,57196) = 3270982044

Least Common Multiple (LCM) of 57189 and 57196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57189 and 57196. First we will calculate the prime factors of 57189 and 57196.

Prime Factorization of 57189

Prime Factorization of 57196

Now multiplying the highest exponent prime factors to calculate the LCM of 57189 and 57196.

LCM(57189,57196) = 3¹ × 11¹ × 1733¹ × 2² × 79¹ × 181¹
LCM(57189,57196) = 3270982044