What is the Least Common Multiple of 73173 and 73193?

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 73173 and 73193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73173 and 73193, than apply into the LCM equation.

GCF(73173,73193) = 1
LCM(73173,73193) = ( 73173 × 73193) / 1
LCM(73173,73193) = 5355751389 / 1
LCM(73173,73193) = 5355751389

Least Common Multiple (LCM) of 73173 and 73193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73173 and 73193. First we will calculate the prime factors of 73173 and 73193.

Prime Factorization of 73173

Prime Factorization of 73193

Now multiplying the highest exponent prime factors to calculate the LCM of 73173 and 73193.

LCM(73173,73193) = 3¹ × 24391¹ × 53¹ × 1381¹
LCM(73173,73193) = 5355751389