What is the Least Common Multiple of 90080 and 90090?

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 90080 and 90090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90080 and 90090, than apply into the LCM equation.

GCF(90080,90090) = 10
LCM(90080,90090) = ( 90080 × 90090) / 10
LCM(90080,90090) = 8115307200 / 10
LCM(90080,90090) = 811530720

Least Common Multiple (LCM) of 90080 and 90090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90080 and 90090. First we will calculate the prime factors of 90080 and 90090.

Prime Factorization of 90080

Prime Factorization of 90090

Now multiplying the highest exponent prime factors to calculate the LCM of 90080 and 90090.

LCM(90080,90090) = 2⁵ × 5¹ × 563¹ × 3² × 7¹ × 11¹ × 13¹
LCM(90080,90090) = 811530720