GCF and LCM Calculator Logo

What is the Least Common Multiple of 24856 and 24862?

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 (LCM) of 24856 and 24862 is 308984936.

LCM(24856,24862) = 308984936

LCM Calculator and
and

Least Common Multiple of 24856 and 24862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24856 and 24862, than apply into the LCM equation.

GCF(24856,24862) = 2
LCM(24856,24862) = ( 24856 × 24862) / 2
LCM(24856,24862) = 617969872 / 2
LCM(24856,24862) = 308984936

Least Common Multiple (LCM) of 24856 and 24862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24856 and 24862. First we will calculate the prime factors of 24856 and 24862.

Prime Factorization of 24856

Prime factors of 24856 are 2, 13, 239. Prime factorization of 24856 in exponential form is:

24856 = 23 × 131 × 2391

Prime Factorization of 24862

Prime factors of 24862 are 2, 31, 401. Prime factorization of 24862 in exponential form is:

24862 = 21 × 311 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 24856 and 24862.

LCM(24856,24862) = 23 × 131 × 2391 × 311 × 4011
LCM(24856,24862) = 308984936