What is the Least Common Multiple of 56758 and 56774?

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 56758 and 56774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56758 and 56774, than apply into the LCM equation.

GCF(56758,56774) = 2
LCM(56758,56774) = ( 56758 × 56774) / 2
LCM(56758,56774) = 3222378692 / 2
LCM(56758,56774) = 1611189346

Least Common Multiple (LCM) of 56758 and 56774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56758 and 56774. First we will calculate the prime factors of 56758 and 56774.

Prime Factorization of 56758

Prime Factorization of 56774

Now multiplying the highest exponent prime factors to calculate the LCM of 56758 and 56774.

LCM(56758,56774) = 2¹ × 13¹ × 37¹ × 59¹ × 28387¹
LCM(56758,56774) = 1611189346