What is the Least Common Multiple of 56724 and 56738?

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 56724 and 56738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56724 and 56738, than apply into the LCM equation.

GCF(56724,56738) = 2
LCM(56724,56738) = ( 56724 × 56738) / 2
LCM(56724,56738) = 3218406312 / 2
LCM(56724,56738) = 1609203156

Least Common Multiple (LCM) of 56724 and 56738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56724 and 56738. First we will calculate the prime factors of 56724 and 56738.

Prime Factorization of 56724

Prime Factorization of 56738

Now multiplying the highest exponent prime factors to calculate the LCM of 56724 and 56738.

LCM(56724,56738) = 2² × 3¹ × 29¹ × 163¹ × 11¹ × 2579¹
LCM(56724,56738) = 1609203156