What is the Least Common Multiple of 73909 and 73928?

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 73909 and 73928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73909 and 73928, than apply into the LCM equation.

GCF(73909,73928) = 1
LCM(73909,73928) = ( 73909 × 73928) / 1
LCM(73909,73928) = 5463944552 / 1
LCM(73909,73928) = 5463944552

Least Common Multiple (LCM) of 73909 and 73928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73909 and 73928. First we will calculate the prime factors of 73909 and 73928.

Prime Factorization of 73909

Prime Factorization of 73928

Now multiplying the highest exponent prime factors to calculate the LCM of 73909 and 73928.

LCM(73909,73928) = 11¹ × 6719¹ × 2³ × 9241¹
LCM(73909,73928) = 5463944552