What is the Least Common Multiple of 25090 and 25099?

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 25090 and 25099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25090 and 25099, than apply into the LCM equation.

GCF(25090,25099) = 1
LCM(25090,25099) = ( 25090 × 25099) / 1
LCM(25090,25099) = 629733910 / 1
LCM(25090,25099) = 629733910

Least Common Multiple (LCM) of 25090 and 25099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25090 and 25099. First we will calculate the prime factors of 25090 and 25099.

Prime Factorization of 25090

Prime Factorization of 25099

Now multiplying the highest exponent prime factors to calculate the LCM of 25090 and 25099.

LCM(25090,25099) = 2¹ × 5¹ × 13¹ × 193¹ × 19¹ × 1321¹
LCM(25090,25099) = 629733910