What is the Least Common Multiple of 57102 and 57119?

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 57119 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 57119, than apply into the LCM equation.

GCF(57102,57119) = 1
LCM(57102,57119) = ( 57102 × 57119) / 1
LCM(57102,57119) = 3261609138 / 1
LCM(57102,57119) = 3261609138

Least Common Multiple (LCM) of 57102 and 57119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57102 and 57119. First we will calculate the prime factors of 57102 and 57119.

Prime Factorization of 57102

Prime Factorization of 57119

Now multiplying the highest exponent prime factors to calculate the LCM of 57102 and 57119.

LCM(57102,57119) = 2¹ × 3¹ × 31¹ × 307¹ × 57119¹
LCM(57102,57119) = 3261609138