What is the Least Common Multiple of 56736 and 56742?

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 56736 and 56742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56736 and 56742, than apply into the LCM equation.

GCF(56736,56742) = 6
LCM(56736,56742) = ( 56736 × 56742) / 6
LCM(56736,56742) = 3219314112 / 6
LCM(56736,56742) = 536552352

Least Common Multiple (LCM) of 56736 and 56742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56736 and 56742. First we will calculate the prime factors of 56736 and 56742.

Prime Factorization of 56736

Prime Factorization of 56742

Now multiplying the highest exponent prime factors to calculate the LCM of 56736 and 56742.

LCM(56736,56742) = 2⁵ × 3² × 197¹ × 7² × 193¹
LCM(56736,56742) = 536552352