What is the Least Common Multiple of 57268 and 57278?

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 57268 and 57278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57268 and 57278, than apply into the LCM equation.

GCF(57268,57278) = 2
LCM(57268,57278) = ( 57268 × 57278) / 2
LCM(57268,57278) = 3280196504 / 2
LCM(57268,57278) = 1640098252

Least Common Multiple (LCM) of 57268 and 57278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57268 and 57278. First we will calculate the prime factors of 57268 and 57278.

Prime Factorization of 57268

Prime Factorization of 57278

Now multiplying the highest exponent prime factors to calculate the LCM of 57268 and 57278.

LCM(57268,57278) = 2² × 103¹ × 139¹ × 13¹ × 2203¹
LCM(57268,57278) = 1640098252