What is the Least Common Multiple of 59256 and 59270?

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 59256 and 59270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59256 and 59270, than apply into the LCM equation.

GCF(59256,59270) = 2
LCM(59256,59270) = ( 59256 × 59270) / 2
LCM(59256,59270) = 3512103120 / 2
LCM(59256,59270) = 1756051560

Least Common Multiple (LCM) of 59256 and 59270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59256 and 59270. First we will calculate the prime factors of 59256 and 59270.

Prime Factorization of 59256

Prime Factorization of 59270

Now multiplying the highest exponent prime factors to calculate the LCM of 59256 and 59270.

LCM(59256,59270) = 2³ × 3² × 823¹ × 5¹ × 5927¹
LCM(59256,59270) = 1756051560