What is the Least Common Multiple of 59268 and 59278?

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 59268 and 59278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59268 and 59278, than apply into the LCM equation.

GCF(59268,59278) = 2
LCM(59268,59278) = ( 59268 × 59278) / 2
LCM(59268,59278) = 3513288504 / 2
LCM(59268,59278) = 1756644252

Least Common Multiple (LCM) of 59268 and 59278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59268 and 59278. First we will calculate the prime factors of 59268 and 59278.

Prime Factorization of 59268

Prime Factorization of 59278

Now multiplying the highest exponent prime factors to calculate the LCM of 59268 and 59278.

LCM(59268,59278) = 2² × 3¹ × 11¹ × 449¹ × 107¹ × 277¹
LCM(59268,59278) = 1756644252