What is the Least Common Multiple of 59040 and 59047?

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 59047 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 59047, than apply into the LCM equation.

GCF(59040,59047) = 1
LCM(59040,59047) = ( 59040 × 59047) / 1
LCM(59040,59047) = 3486134880 / 1
LCM(59040,59047) = 3486134880

Least Common Multiple (LCM) of 59040 and 59047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59040 and 59047. First we will calculate the prime factors of 59040 and 59047.

Prime Factorization of 59040

Prime Factorization of 59047

Now multiplying the highest exponent prime factors to calculate the LCM of 59040 and 59047.

LCM(59040,59047) = 2⁵ × 3² × 5¹ × 41¹ × 137¹ × 431¹
LCM(59040,59047) = 3486134880