What is the Least Common Multiple of 15030 and 15050?

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 15050 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 15050, than apply into the LCM equation.

GCF(15030,15050) = 10
LCM(15030,15050) = ( 15030 × 15050) / 10
LCM(15030,15050) = 226201500 / 10
LCM(15030,15050) = 22620150

Least Common Multiple (LCM) of 15030 and 15050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15030 and 15050. First we will calculate the prime factors of 15030 and 15050.

Prime Factorization of 15030

Prime Factorization of 15050

Now multiplying the highest exponent prime factors to calculate the LCM of 15030 and 15050.

LCM(15030,15050) = 2¹ × 3² × 5² × 167¹ × 7¹ × 43¹
LCM(15030,15050) = 22620150