What is the Least Common Multiple of 24680 and 24695?

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 24680 and 24695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24680 and 24695, than apply into the LCM equation.

GCF(24680,24695) = 5
LCM(24680,24695) = ( 24680 × 24695) / 5
LCM(24680,24695) = 609472600 / 5
LCM(24680,24695) = 121894520

Least Common Multiple (LCM) of 24680 and 24695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24680 and 24695. First we will calculate the prime factors of 24680 and 24695.

Prime Factorization of 24680

Prime Factorization of 24695

Now multiplying the highest exponent prime factors to calculate the LCM of 24680 and 24695.

LCM(24680,24695) = 2³ × 5¹ × 617¹ × 11¹ × 449¹
LCM(24680,24695) = 121894520