What is the Least Common Multiple of 24680 and 24694?

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 24694 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 24694, than apply into the LCM equation.

GCF(24680,24694) = 2
LCM(24680,24694) = ( 24680 × 24694) / 2
LCM(24680,24694) = 609447920 / 2
LCM(24680,24694) = 304723960

Least Common Multiple (LCM) of 24680 and 24694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24680 and 24694. First we will calculate the prime factors of 24680 and 24694.

Prime Factorization of 24680

Prime Factorization of 24694

Now multiplying the highest exponent prime factors to calculate the LCM of 24680 and 24694.

LCM(24680,24694) = 2³ × 5¹ × 617¹ × 12347¹
LCM(24680,24694) = 304723960