What is the Least Common Multiple of 15027 and 15036?

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 15027 and 15036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15027 and 15036, than apply into the LCM equation.

GCF(15027,15036) = 3
LCM(15027,15036) = ( 15027 × 15036) / 3
LCM(15027,15036) = 225945972 / 3
LCM(15027,15036) = 75315324

Least Common Multiple (LCM) of 15027 and 15036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15027 and 15036. First we will calculate the prime factors of 15027 and 15036.

Prime Factorization of 15027

Prime Factorization of 15036

Now multiplying the highest exponent prime factors to calculate the LCM of 15027 and 15036.

LCM(15027,15036) = 3¹ × 5009¹ × 2² × 7¹ × 179¹
LCM(15027,15036) = 75315324