What is the Least Common Multiple of 73474 and 73491?

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 73474 and 73491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73474 and 73491, than apply into the LCM equation.

GCF(73474,73491) = 17
LCM(73474,73491) = ( 73474 × 73491) / 17
LCM(73474,73491) = 5399677734 / 17
LCM(73474,73491) = 317628102

Least Common Multiple (LCM) of 73474 and 73491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73474 and 73491. First we will calculate the prime factors of 73474 and 73491.

Prime Factorization of 73474

Prime Factorization of 73491

Now multiplying the highest exponent prime factors to calculate the LCM of 73474 and 73491.

LCM(73474,73491) = 2¹ × 17¹ × 2161¹ × 3¹ × 11¹ × 131¹
LCM(73474,73491) = 317628102