What is the Least Common Multiple of 57105 and 57110?

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 57105 and 57110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57105 and 57110, than apply into the LCM equation.

GCF(57105,57110) = 5
LCM(57105,57110) = ( 57105 × 57110) / 5
LCM(57105,57110) = 3261266550 / 5
LCM(57105,57110) = 652253310

Least Common Multiple (LCM) of 57105 and 57110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57105 and 57110. First we will calculate the prime factors of 57105 and 57110.

Prime Factorization of 57105

Prime Factorization of 57110

Now multiplying the highest exponent prime factors to calculate the LCM of 57105 and 57110.

LCM(57105,57110) = 3⁵ × 5¹ × 47¹ × 2¹ × 5711¹
LCM(57105,57110) = 652253310