What is the Least Common Multiple of 24969 and 24978?

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 24969 and 24978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24969 and 24978, than apply into the LCM equation.

GCF(24969,24978) = 3
LCM(24969,24978) = ( 24969 × 24978) / 3
LCM(24969,24978) = 623675682 / 3
LCM(24969,24978) = 207891894

Least Common Multiple (LCM) of 24969 and 24978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24969 and 24978. First we will calculate the prime factors of 24969 and 24978.

Prime Factorization of 24969

Prime Factorization of 24978

Now multiplying the highest exponent prime factors to calculate the LCM of 24969 and 24978.

LCM(24969,24978) = 3¹ × 7¹ × 29¹ × 41¹ × 2¹ × 23¹ × 181¹
LCM(24969,24978) = 207891894