What is the Least Common Multiple of 15080 and 15090?

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 15080 and 15090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15080 and 15090, than apply into the LCM equation.

GCF(15080,15090) = 10
LCM(15080,15090) = ( 15080 × 15090) / 10
LCM(15080,15090) = 227557200 / 10
LCM(15080,15090) = 22755720

Least Common Multiple (LCM) of 15080 and 15090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15080 and 15090. First we will calculate the prime factors of 15080 and 15090.

Prime Factorization of 15080

Prime Factorization of 15090

Now multiplying the highest exponent prime factors to calculate the LCM of 15080 and 15090.

LCM(15080,15090) = 2³ × 5¹ × 13¹ × 29¹ × 3¹ × 503¹
LCM(15080,15090) = 22755720