What is the Least Common Multiple of 56716 and 56725?

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 56716 and 56725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56716 and 56725, than apply into the LCM equation.

GCF(56716,56725) = 1
LCM(56716,56725) = ( 56716 × 56725) / 1
LCM(56716,56725) = 3217215100 / 1
LCM(56716,56725) = 3217215100

Least Common Multiple (LCM) of 56716 and 56725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56716 and 56725. First we will calculate the prime factors of 56716 and 56725.

Prime Factorization of 56716

Prime Factorization of 56725

Now multiplying the highest exponent prime factors to calculate the LCM of 56716 and 56725.

LCM(56716,56725) = 2² × 11¹ × 1289¹ × 5² × 2269¹
LCM(56716,56725) = 3217215100