What is the Least Common Multiple of 15036 and 15045?

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 15036 and 15045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15036 and 15045, than apply into the LCM equation.

GCF(15036,15045) = 3
LCM(15036,15045) = ( 15036 × 15045) / 3
LCM(15036,15045) = 226216620 / 3
LCM(15036,15045) = 75405540

Least Common Multiple (LCM) of 15036 and 15045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15036 and 15045. First we will calculate the prime factors of 15036 and 15045.

Prime Factorization of 15036

Prime Factorization of 15045

Now multiplying the highest exponent prime factors to calculate the LCM of 15036 and 15045.

LCM(15036,15045) = 2² × 3¹ × 7¹ × 179¹ × 5¹ × 17¹ × 59¹
LCM(15036,15045) = 75405540