What is the Least Common Multiple of 15050 and 15070?

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 15050 and 15070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15050 and 15070, than apply into the LCM equation.

GCF(15050,15070) = 10
LCM(15050,15070) = ( 15050 × 15070) / 10
LCM(15050,15070) = 226803500 / 10
LCM(15050,15070) = 22680350

Least Common Multiple (LCM) of 15050 and 15070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15050 and 15070. First we will calculate the prime factors of 15050 and 15070.

Prime Factorization of 15050

Prime Factorization of 15070

Now multiplying the highest exponent prime factors to calculate the LCM of 15050 and 15070.

LCM(15050,15070) = 2¹ × 5² × 7¹ × 43¹ × 11¹ × 137¹
LCM(15050,15070) = 22680350