What is the Least Common Multiple of 73233 and 73245?

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 73233 and 73245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73233 and 73245, than apply into the LCM equation.

GCF(73233,73245) = 3
LCM(73233,73245) = ( 73233 × 73245) / 3
LCM(73233,73245) = 5363951085 / 3
LCM(73233,73245) = 1787983695

Least Common Multiple (LCM) of 73233 and 73245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73233 and 73245. First we will calculate the prime factors of 73233 and 73245.

Prime Factorization of 73233

Prime Factorization of 73245

Now multiplying the highest exponent prime factors to calculate the LCM of 73233 and 73245.

LCM(73233,73245) = 3² × 79¹ × 103¹ × 5¹ × 19¹ × 257¹
LCM(73233,73245) = 1787983695