What is the Least Common Multiple of 73593 and 73604?

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 73593 and 73604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73593 and 73604, than apply into the LCM equation.

GCF(73593,73604) = 1
LCM(73593,73604) = ( 73593 × 73604) / 1
LCM(73593,73604) = 5416739172 / 1
LCM(73593,73604) = 5416739172

Least Common Multiple (LCM) of 73593 and 73604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73593 and 73604. First we will calculate the prime factors of 73593 and 73604.

Prime Factorization of 73593

Prime Factorization of 73604

Now multiplying the highest exponent prime factors to calculate the LCM of 73593 and 73604.

LCM(73593,73604) = 3² × 13¹ × 17¹ × 37¹ × 2² × 18401¹
LCM(73593,73604) = 5416739172