What is the Least Common Multiple of 24894 and 24902?

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 24894 and 24902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24894 and 24902, than apply into the LCM equation.

GCF(24894,24902) = 2
LCM(24894,24902) = ( 24894 × 24902) / 2
LCM(24894,24902) = 619910388 / 2
LCM(24894,24902) = 309955194

Least Common Multiple (LCM) of 24894 and 24902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24894 and 24902. First we will calculate the prime factors of 24894 and 24902.

Prime Factorization of 24894

Prime Factorization of 24902

Now multiplying the highest exponent prime factors to calculate the LCM of 24894 and 24902.

LCM(24894,24902) = 2¹ × 3³ × 461¹ × 12451¹
LCM(24894,24902) = 309955194