What is the Least Common Multiple of 50080 and 50090?

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 50080 and 50090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50080 and 50090, than apply into the LCM equation.

GCF(50080,50090) = 10
LCM(50080,50090) = ( 50080 × 50090) / 10
LCM(50080,50090) = 2508507200 / 10
LCM(50080,50090) = 250850720

Least Common Multiple (LCM) of 50080 and 50090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50080 and 50090. First we will calculate the prime factors of 50080 and 50090.

Prime Factorization of 50080

Prime Factorization of 50090

Now multiplying the highest exponent prime factors to calculate the LCM of 50080 and 50090.

LCM(50080,50090) = 2⁵ × 5¹ × 313¹ × 5009¹
LCM(50080,50090) = 250850720