What is the Least Common Multiple of 74073 and 74091?

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 74073 and 74091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74073 and 74091, than apply into the LCM equation.

GCF(74073,74091) = 3
LCM(74073,74091) = ( 74073 × 74091) / 3
LCM(74073,74091) = 5488142643 / 3
LCM(74073,74091) = 1829380881

Least Common Multiple (LCM) of 74073 and 74091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74073 and 74091. First we will calculate the prime factors of 74073 and 74091.

Prime Factorization of 74073

Prime Factorization of 74091

Now multiplying the highest exponent prime factors to calculate the LCM of 74073 and 74091.

LCM(74073,74091) = 3¹ × 24691¹ × 24697¹
LCM(74073,74091) = 1829380881