What is the Least Common Multiple of 59268 and 59279?

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 59279 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 59279, than apply into the LCM equation.

GCF(59268,59279) = 11
LCM(59268,59279) = ( 59268 × 59279) / 11
LCM(59268,59279) = 3513347772 / 11
LCM(59268,59279) = 319395252

Least Common Multiple (LCM) of 59268 and 59279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59268 and 59279. First we will calculate the prime factors of 59268 and 59279.

Prime Factorization of 59268

Prime Factorization of 59279

Now multiplying the highest exponent prime factors to calculate the LCM of 59268 and 59279.

LCM(59268,59279) = 2² × 3¹ × 11¹ × 449¹ × 17¹ × 317¹
LCM(59268,59279) = 319395252