What is the Least Common Multiple of 59344 and 59360?

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 59344 and 59360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59344 and 59360, than apply into the LCM equation.

GCF(59344,59360) = 16
LCM(59344,59360) = ( 59344 × 59360) / 16
LCM(59344,59360) = 3522659840 / 16
LCM(59344,59360) = 220166240

Least Common Multiple (LCM) of 59344 and 59360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59344 and 59360. First we will calculate the prime factors of 59344 and 59360.

Prime Factorization of 59344

Prime Factorization of 59360

Now multiplying the highest exponent prime factors to calculate the LCM of 59344 and 59360.

LCM(59344,59360) = 2⁵ × 3709¹ × 5¹ × 7¹ × 53¹
LCM(59344,59360) = 220166240