What is the Least Common Multiple of 36045 and 36050?

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 36045 and 36050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36045 and 36050, than apply into the LCM equation.

GCF(36045,36050) = 5
LCM(36045,36050) = ( 36045 × 36050) / 5
LCM(36045,36050) = 1299422250 / 5
LCM(36045,36050) = 259884450

Least Common Multiple (LCM) of 36045 and 36050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36045 and 36050. First we will calculate the prime factors of 36045 and 36050.

Prime Factorization of 36045

Prime Factorization of 36050

Now multiplying the highest exponent prime factors to calculate the LCM of 36045 and 36050.

LCM(36045,36050) = 3⁴ × 5² × 89¹ × 2¹ × 7¹ × 103¹
LCM(36045,36050) = 259884450