What is the Least Common Multiple of 56681 and 56699?

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 56681 and 56699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56681 and 56699, than apply into the LCM equation.

GCF(56681,56699) = 1
LCM(56681,56699) = ( 56681 × 56699) / 1
LCM(56681,56699) = 3213756019 / 1
LCM(56681,56699) = 3213756019

Least Common Multiple (LCM) of 56681 and 56699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56681 and 56699. First we will calculate the prime factors of 56681 and 56699.

Prime Factorization of 56681

Prime Factorization of 56699

Now multiplying the highest exponent prime factors to calculate the LCM of 56681 and 56699.

LCM(56681,56699) = 56681¹ × 31² × 59¹
LCM(56681,56699) = 3213756019