What is the Least Common Multiple of 25080 and 25090?

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 25080 and 25090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25080 and 25090, than apply into the LCM equation.

GCF(25080,25090) = 10
LCM(25080,25090) = ( 25080 × 25090) / 10
LCM(25080,25090) = 629257200 / 10
LCM(25080,25090) = 62925720

Least Common Multiple (LCM) of 25080 and 25090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25080 and 25090. First we will calculate the prime factors of 25080 and 25090.

Prime Factorization of 25080

Prime Factorization of 25090

Now multiplying the highest exponent prime factors to calculate the LCM of 25080 and 25090.

LCM(25080,25090) = 2³ × 3¹ × 5¹ × 11¹ × 19¹ × 13¹ × 193¹
LCM(25080,25090) = 62925720