What is the Least Common Multiple of 59268 and 59282?

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 59282 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 59282, than apply into the LCM equation.

GCF(59268,59282) = 2
LCM(59268,59282) = ( 59268 × 59282) / 2
LCM(59268,59282) = 3513525576 / 2
LCM(59268,59282) = 1756762788

Least Common Multiple (LCM) of 59268 and 59282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59268 and 59282. First we will calculate the prime factors of 59268 and 59282.

Prime Factorization of 59268

Prime Factorization of 59282

Now multiplying the highest exponent prime factors to calculate the LCM of 59268 and 59282.

LCM(59268,59282) = 2² × 3¹ × 11¹ × 449¹ × 29641¹
LCM(59268,59282) = 1756762788