What is the Least Common Multiple of 59340 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 59340 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 59340 and 59360, than apply into the LCM equation.

GCF(59340,59360) = 20
LCM(59340,59360) = ( 59340 × 59360) / 20
LCM(59340,59360) = 3522422400 / 20
LCM(59340,59360) = 176121120

Least Common Multiple (LCM) of 59340 and 59360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59340 and 59360. First we will calculate the prime factors of 59340 and 59360.

Prime Factorization of 59340

Prime Factorization of 59360

Now multiplying the highest exponent prime factors to calculate the LCM of 59340 and 59360.

LCM(59340,59360) = 2⁵ × 3¹ × 5¹ × 23¹ × 43¹ × 7¹ × 53¹
LCM(59340,59360) = 176121120