What is the Least Common Multiple of 73923 and 73936?

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 73923 and 73936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73923 and 73936, than apply into the LCM equation.

GCF(73923,73936) = 1
LCM(73923,73936) = ( 73923 × 73936) / 1
LCM(73923,73936) = 5465570928 / 1
LCM(73923,73936) = 5465570928

Least Common Multiple (LCM) of 73923 and 73936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73923 and 73936. First we will calculate the prime factors of 73923 and 73936.

Prime Factorization of 73923

Prime Factorization of 73936

Now multiplying the highest exponent prime factors to calculate the LCM of 73923 and 73936.

LCM(73923,73936) = 3¹ × 41¹ × 601¹ × 2⁴ × 4621¹
LCM(73923,73936) = 5465570928