What is the Least Common Multiple of 9080 and 9090?

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 9080 and 9090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9080 and 9090, than apply into the LCM equation.

GCF(9080,9090) = 10
LCM(9080,9090) = ( 9080 × 9090) / 10
LCM(9080,9090) = 82537200 / 10
LCM(9080,9090) = 8253720

Least Common Multiple (LCM) of 9080 and 9090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9080 and 9090. First we will calculate the prime factors of 9080 and 9090.

Prime Factorization of 9080

Prime Factorization of 9090

Now multiplying the highest exponent prime factors to calculate the LCM of 9080 and 9090.

LCM(9080,9090) = 2³ × 5¹ × 227¹ × 3² × 101¹
LCM(9080,9090) = 8253720