What is the Least Common Multiple of 15030 and 15034?

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 15030 and 15034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15030 and 15034, than apply into the LCM equation.

GCF(15030,15034) = 2
LCM(15030,15034) = ( 15030 × 15034) / 2
LCM(15030,15034) = 225961020 / 2
LCM(15030,15034) = 112980510

Least Common Multiple (LCM) of 15030 and 15034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15030 and 15034. First we will calculate the prime factors of 15030 and 15034.

Prime Factorization of 15030

Prime Factorization of 15034

Now multiplying the highest exponent prime factors to calculate the LCM of 15030 and 15034.

LCM(15030,15034) = 2¹ × 3² × 5¹ × 167¹ × 7517¹
LCM(15030,15034) = 112980510