What is the Least Common Multiple of 19936 and 19949?

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 19936 and 19949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19936 and 19949, than apply into the LCM equation.

GCF(19936,19949) = 1
LCM(19936,19949) = ( 19936 × 19949) / 1
LCM(19936,19949) = 397703264 / 1
LCM(19936,19949) = 397703264

Least Common Multiple (LCM) of 19936 and 19949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19936 and 19949. First we will calculate the prime factors of 19936 and 19949.

Prime Factorization of 19936

Prime Factorization of 19949

Now multiplying the highest exponent prime factors to calculate the LCM of 19936 and 19949.

LCM(19936,19949) = 2⁵ × 7¹ × 89¹ × 19949¹
LCM(19936,19949) = 397703264