What is the Least Common Multiple of 73923 and 73935?

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 73935 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 73935, than apply into the LCM equation.

GCF(73923,73935) = 3
LCM(73923,73935) = ( 73923 × 73935) / 3
LCM(73923,73935) = 5465497005 / 3
LCM(73923,73935) = 1821832335

Least Common Multiple (LCM) of 73923 and 73935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73923 and 73935. First we will calculate the prime factors of 73923 and 73935.

Prime Factorization of 73923

Prime Factorization of 73935

Now multiplying the highest exponent prime factors to calculate the LCM of 73923 and 73935.

LCM(73923,73935) = 3² × 41¹ × 601¹ × 5¹ × 31¹ × 53¹
LCM(73923,73935) = 1821832335