What is the Least Common Multiple of 49264 and 49278?

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 49264 and 49278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49264 and 49278, than apply into the LCM equation.

GCF(49264,49278) = 2
LCM(49264,49278) = ( 49264 × 49278) / 2
LCM(49264,49278) = 2427631392 / 2
LCM(49264,49278) = 1213815696

Least Common Multiple (LCM) of 49264 and 49278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49264 and 49278. First we will calculate the prime factors of 49264 and 49278.

Prime Factorization of 49264

Prime Factorization of 49278

Now multiplying the highest exponent prime factors to calculate the LCM of 49264 and 49278.

LCM(49264,49278) = 2⁴ × 3079¹ × 3¹ × 43¹ × 191¹
LCM(49264,49278) = 1213815696