What is the Least Common Multiple of 36150 and 36159?

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 36150 and 36159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36150 and 36159, than apply into the LCM equation.

GCF(36150,36159) = 3
LCM(36150,36159) = ( 36150 × 36159) / 3
LCM(36150,36159) = 1307147850 / 3
LCM(36150,36159) = 435715950

Least Common Multiple (LCM) of 36150 and 36159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36150 and 36159. First we will calculate the prime factors of 36150 and 36159.

Prime Factorization of 36150

Prime Factorization of 36159

Now multiplying the highest exponent prime factors to calculate the LCM of 36150 and 36159.

LCM(36150,36159) = 2¹ × 3¹ × 5² × 241¹ × 17¹ × 709¹
LCM(36150,36159) = 435715950