What is the Least Common Multiple of 59040 and 59045?

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 59040 and 59045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59040 and 59045, than apply into the LCM equation.

GCF(59040,59045) = 5
LCM(59040,59045) = ( 59040 × 59045) / 5
LCM(59040,59045) = 3486016800 / 5
LCM(59040,59045) = 697203360

Least Common Multiple (LCM) of 59040 and 59045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59040 and 59045. First we will calculate the prime factors of 59040 and 59045.

Prime Factorization of 59040

Prime Factorization of 59045

Now multiplying the highest exponent prime factors to calculate the LCM of 59040 and 59045.

LCM(59040,59045) = 2⁵ × 3² × 5¹ × 41¹ × 7² × 241¹
LCM(59040,59045) = 697203360