What is the Least Common Multiple of 36009 and 36025?

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 36009 and 36025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36009 and 36025, than apply into the LCM equation.

GCF(36009,36025) = 1
LCM(36009,36025) = ( 36009 × 36025) / 1
LCM(36009,36025) = 1297224225 / 1
LCM(36009,36025) = 1297224225

Least Common Multiple (LCM) of 36009 and 36025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36009 and 36025. First we will calculate the prime factors of 36009 and 36025.

Prime Factorization of 36009

Prime Factorization of 36025

Now multiplying the highest exponent prime factors to calculate the LCM of 36009 and 36025.

LCM(36009,36025) = 3² × 4001¹ × 5² × 11¹ × 131¹
LCM(36009,36025) = 1297224225