What is the Least Common Multiple of 59540 and 59560?

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 59540 and 59560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59540 and 59560, than apply into the LCM equation.

GCF(59540,59560) = 20
LCM(59540,59560) = ( 59540 × 59560) / 20
LCM(59540,59560) = 3546202400 / 20
LCM(59540,59560) = 177310120

Least Common Multiple (LCM) of 59540 and 59560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59540 and 59560. First we will calculate the prime factors of 59540 and 59560.

Prime Factorization of 59540

Prime Factorization of 59560

Now multiplying the highest exponent prime factors to calculate the LCM of 59540 and 59560.

LCM(59540,59560) = 2³ × 5¹ × 13¹ × 229¹ × 1489¹
LCM(59540,59560) = 177310120