What is the Least Common Multiple of 59072 and 59087?

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 59072 and 59087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59072 and 59087, than apply into the LCM equation.

GCF(59072,59087) = 1
LCM(59072,59087) = ( 59072 × 59087) / 1
LCM(59072,59087) = 3490387264 / 1
LCM(59072,59087) = 3490387264

Least Common Multiple (LCM) of 59072 and 59087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59072 and 59087. First we will calculate the prime factors of 59072 and 59087.

Prime Factorization of 59072

Prime Factorization of 59087

Now multiplying the highest exponent prime factors to calculate the LCM of 59072 and 59087.

LCM(59072,59087) = 2⁶ × 13¹ × 71¹ × 7¹ × 23¹ × 367¹
LCM(59072,59087) = 3490387264