What is the Least Common Multiple of 5080 and 5090?

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 5080 and 5090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5080 and 5090, than apply into the LCM equation.

GCF(5080,5090) = 10
LCM(5080,5090) = ( 5080 × 5090) / 10
LCM(5080,5090) = 25857200 / 10
LCM(5080,5090) = 2585720

Least Common Multiple (LCM) of 5080 and 5090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5080 and 5090. First we will calculate the prime factors of 5080 and 5090.

Prime Factorization of 5080

Prime Factorization of 5090

Now multiplying the highest exponent prime factors to calculate the LCM of 5080 and 5090.

LCM(5080,5090) = 2³ × 5¹ × 127¹ × 509¹
LCM(5080,5090) = 2585720