What is the Least Common Multiple of 56744 and 56758?

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 56744 and 56758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56744 and 56758, than apply into the LCM equation.

GCF(56744,56758) = 2
LCM(56744,56758) = ( 56744 × 56758) / 2
LCM(56744,56758) = 3220675952 / 2
LCM(56744,56758) = 1610337976

Least Common Multiple (LCM) of 56744 and 56758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56744 and 56758. First we will calculate the prime factors of 56744 and 56758.

Prime Factorization of 56744

Prime Factorization of 56758

Now multiplying the highest exponent prime factors to calculate the LCM of 56744 and 56758.

LCM(56744,56758) = 2³ × 41¹ × 173¹ × 13¹ × 37¹ × 59¹
LCM(56744,56758) = 1610337976