What is the Least Common Multiple of 36030 and 36045?

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 36030 and 36045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36030 and 36045, than apply into the LCM equation.

GCF(36030,36045) = 15
LCM(36030,36045) = ( 36030 × 36045) / 15
LCM(36030,36045) = 1298701350 / 15
LCM(36030,36045) = 86580090

Least Common Multiple (LCM) of 36030 and 36045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36045. First we will calculate the prime factors of 36030 and 36045.

Prime Factorization of 36030

Prime Factorization of 36045

Now multiplying the highest exponent prime factors to calculate the LCM of 36030 and 36045.

LCM(36030,36045) = 2¹ × 3⁴ × 5¹ × 1201¹ × 89¹
LCM(36030,36045) = 86580090