What is the Least Common Multiple of 18944 and 18949?

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 18944 and 18949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18944 and 18949, than apply into the LCM equation.

GCF(18944,18949) = 1
LCM(18944,18949) = ( 18944 × 18949) / 1
LCM(18944,18949) = 358969856 / 1
LCM(18944,18949) = 358969856

Least Common Multiple (LCM) of 18944 and 18949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18944 and 18949. First we will calculate the prime factors of 18944 and 18949.

Prime Factorization of 18944

Prime Factorization of 18949

Now multiplying the highest exponent prime factors to calculate the LCM of 18944 and 18949.

LCM(18944,18949) = 2⁹ × 37¹ × 7¹ × 2707¹
LCM(18944,18949) = 358969856