What is the Least Common Multiple of 56712 and 56723?

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 56712 and 56723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56712 and 56723, than apply into the LCM equation.

GCF(56712,56723) = 1
LCM(56712,56723) = ( 56712 × 56723) / 1
LCM(56712,56723) = 3216874776 / 1
LCM(56712,56723) = 3216874776

Least Common Multiple (LCM) of 56712 and 56723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56712 and 56723. First we will calculate the prime factors of 56712 and 56723.

Prime Factorization of 56712

Prime Factorization of 56723

Now multiplying the highest exponent prime factors to calculate the LCM of 56712 and 56723.

LCM(56712,56723) = 2³ × 3¹ × 17¹ × 139¹ × 131¹ × 433¹
LCM(56712,56723) = 3216874776