What is the Least Common Multiple of 59268 and 59273?

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 59273 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 59273, than apply into the LCM equation.

GCF(59268,59273) = 1
LCM(59268,59273) = ( 59268 × 59273) / 1
LCM(59268,59273) = 3512992164 / 1
LCM(59268,59273) = 3512992164

Least Common Multiple (LCM) of 59268 and 59273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59268 and 59273. First we will calculate the prime factors of 59268 and 59273.

Prime Factorization of 59268

Prime Factorization of 59273

Now multiplying the highest exponent prime factors to calculate the LCM of 59268 and 59273.

LCM(59268,59273) = 2² × 3¹ × 11¹ × 449¹ × 59273¹
LCM(59268,59273) = 3512992164