What is the Least Common Multiple of 57102 and 57117?

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 57102 and 57117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57102 and 57117, than apply into the LCM equation.

GCF(57102,57117) = 3
LCM(57102,57117) = ( 57102 × 57117) / 3
LCM(57102,57117) = 3261494934 / 3
LCM(57102,57117) = 1087164978

Least Common Multiple (LCM) of 57102 and 57117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57102 and 57117. First we will calculate the prime factors of 57102 and 57117.

Prime Factorization of 57102

Prime Factorization of 57117

Now multiplying the highest exponent prime factors to calculate the LCM of 57102 and 57117.

LCM(57102,57117) = 2¹ × 3¹ × 31¹ × 307¹ × 79¹ × 241¹
LCM(57102,57117) = 1087164978