What is the Least Common Multiple of 56741 and 56754?

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 56741 and 56754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56741 and 56754, than apply into the LCM equation.

GCF(56741,56754) = 1
LCM(56741,56754) = ( 56741 × 56754) / 1
LCM(56741,56754) = 3220278714 / 1
LCM(56741,56754) = 3220278714

Least Common Multiple (LCM) of 56741 and 56754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56741 and 56754. First we will calculate the prime factors of 56741 and 56754.

Prime Factorization of 56741

Prime Factorization of 56754

Now multiplying the highest exponent prime factors to calculate the LCM of 56741 and 56754.

LCM(56741,56754) = 23¹ × 2467¹ × 2¹ × 3³ × 1051¹
LCM(56741,56754) = 3220278714