What is the Least Common Multiple of 59001 and 59012?

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 59001 and 59012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59001 and 59012, than apply into the LCM equation.

GCF(59001,59012) = 1
LCM(59001,59012) = ( 59001 × 59012) / 1
LCM(59001,59012) = 3481767012 / 1
LCM(59001,59012) = 3481767012

Least Common Multiple (LCM) of 59001 and 59012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59001 and 59012. First we will calculate the prime factors of 59001 and 59012.

Prime Factorization of 59001

Prime Factorization of 59012

Now multiplying the highest exponent prime factors to calculate the LCM of 59001 and 59012.

LCM(59001,59012) = 3¹ × 71¹ × 277¹ × 2² × 14753¹
LCM(59001,59012) = 3481767012