What is the Least Common Multiple of 59440 and 59460?

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 59440 and 59460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59440 and 59460, than apply into the LCM equation.

GCF(59440,59460) = 20
LCM(59440,59460) = ( 59440 × 59460) / 20
LCM(59440,59460) = 3534302400 / 20
LCM(59440,59460) = 176715120

Least Common Multiple (LCM) of 59440 and 59460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59440 and 59460. First we will calculate the prime factors of 59440 and 59460.

Prime Factorization of 59440

Prime Factorization of 59460

Now multiplying the highest exponent prime factors to calculate the LCM of 59440 and 59460.

LCM(59440,59460) = 2⁴ × 5¹ × 743¹ × 3¹ × 991¹
LCM(59440,59460) = 176715120