What is the Least Common Multiple of 11936 and 11951?

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 11936 and 11951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11936 and 11951, than apply into the LCM equation.

GCF(11936,11951) = 1
LCM(11936,11951) = ( 11936 × 11951) / 1
LCM(11936,11951) = 142647136 / 1
LCM(11936,11951) = 142647136

Least Common Multiple (LCM) of 11936 and 11951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11936 and 11951. First we will calculate the prime factors of 11936 and 11951.

Prime Factorization of 11936

Prime Factorization of 11951

Now multiplying the highest exponent prime factors to calculate the LCM of 11936 and 11951.

LCM(11936,11951) = 2⁵ × 373¹ × 17¹ × 19¹ × 37¹
LCM(11936,11951) = 142647136