What is the Least Common Multiple of 57738 and 57756?

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 57738 and 57756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57738 and 57756, than apply into the LCM equation.

GCF(57738,57756) = 6
LCM(57738,57756) = ( 57738 × 57756) / 6
LCM(57738,57756) = 3334715928 / 6
LCM(57738,57756) = 555785988

Least Common Multiple (LCM) of 57738 and 57756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57738 and 57756. First we will calculate the prime factors of 57738 and 57756.

Prime Factorization of 57738

Prime Factorization of 57756

Now multiplying the highest exponent prime factors to calculate the LCM of 57738 and 57756.

LCM(57738,57756) = 2² × 3¹ × 9623¹ × 4813¹
LCM(57738,57756) = 555785988