What is the Least Common Multiple of 57693 and 57710?

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 57693 and 57710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57693 and 57710, than apply into the LCM equation.

GCF(57693,57710) = 1
LCM(57693,57710) = ( 57693 × 57710) / 1
LCM(57693,57710) = 3329463030 / 1
LCM(57693,57710) = 3329463030

Least Common Multiple (LCM) of 57693 and 57710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57693 and 57710. First we will calculate the prime factors of 57693 and 57710.

Prime Factorization of 57693

Prime Factorization of 57710

Now multiplying the highest exponent prime factors to calculate the LCM of 57693 and 57710.

LCM(57693,57710) = 3¹ × 19231¹ × 2¹ × 5¹ × 29¹ × 199¹
LCM(57693,57710) = 3329463030