What is the Least Common Multiple of 49268 and 49279?

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 49268 and 49279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49268 and 49279, than apply into the LCM equation.

GCF(49268,49279) = 1
LCM(49268,49279) = ( 49268 × 49279) / 1
LCM(49268,49279) = 2427877772 / 1
LCM(49268,49279) = 2427877772

Least Common Multiple (LCM) of 49268 and 49279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49268 and 49279. First we will calculate the prime factors of 49268 and 49279.

Prime Factorization of 49268

Prime Factorization of 49279

Now multiplying the highest exponent prime factors to calculate the LCM of 49268 and 49279.

LCM(49268,49279) = 2² × 109¹ × 113¹ × 49279¹
LCM(49268,49279) = 2427877772