What is the Least Common Multiple of 56268 and 56278?

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 56268 and 56278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56268 and 56278, than apply into the LCM equation.

GCF(56268,56278) = 2
LCM(56268,56278) = ( 56268 × 56278) / 2
LCM(56268,56278) = 3166650504 / 2
LCM(56268,56278) = 1583325252

Least Common Multiple (LCM) of 56268 and 56278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56268 and 56278. First we will calculate the prime factors of 56268 and 56278.

Prime Factorization of 56268

Prime Factorization of 56278

Now multiplying the highest exponent prime factors to calculate the LCM of 56268 and 56278.

LCM(56268,56278) = 2² × 3³ × 521¹ × 19¹ × 1481¹
LCM(56268,56278) = 1583325252