What is the Least Common Multiple of 43923 and 43936?

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 43923 and 43936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43923 and 43936, than apply into the LCM equation.

GCF(43923,43936) = 1
LCM(43923,43936) = ( 43923 × 43936) / 1
LCM(43923,43936) = 1929800928 / 1
LCM(43923,43936) = 1929800928

Least Common Multiple (LCM) of 43923 and 43936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43923 and 43936. First we will calculate the prime factors of 43923 and 43936.

Prime Factorization of 43923

Prime Factorization of 43936

Now multiplying the highest exponent prime factors to calculate the LCM of 43923 and 43936.

LCM(43923,43936) = 3¹ × 11⁴ × 2⁵ × 1373¹
LCM(43923,43936) = 1929800928