What is the Least Common Multiple of 30045 and 30059?

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 30045 and 30059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30045 and 30059, than apply into the LCM equation.

GCF(30045,30059) = 1
LCM(30045,30059) = ( 30045 × 30059) / 1
LCM(30045,30059) = 903122655 / 1
LCM(30045,30059) = 903122655

Least Common Multiple (LCM) of 30045 and 30059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30045 and 30059. First we will calculate the prime factors of 30045 and 30059.

Prime Factorization of 30045

Prime Factorization of 30059

Now multiplying the highest exponent prime factors to calculate the LCM of 30045 and 30059.

LCM(30045,30059) = 3¹ × 5¹ × 2003¹ × 30059¹
LCM(30045,30059) = 903122655