What is the Least Common Multiple of 24880 and 24894?

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 24880 and 24894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24880 and 24894, than apply into the LCM equation.

GCF(24880,24894) = 2
LCM(24880,24894) = ( 24880 × 24894) / 2
LCM(24880,24894) = 619362720 / 2
LCM(24880,24894) = 309681360

Least Common Multiple (LCM) of 24880 and 24894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24880 and 24894. First we will calculate the prime factors of 24880 and 24894.

Prime Factorization of 24880

Prime Factorization of 24894

Now multiplying the highest exponent prime factors to calculate the LCM of 24880 and 24894.

LCM(24880,24894) = 2⁴ × 5¹ × 311¹ × 3³ × 461¹
LCM(24880,24894) = 309681360