What is the Least Common Multiple of 73353 and 73365?

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 73353 and 73365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73353 and 73365, than apply into the LCM equation.

GCF(73353,73365) = 3
LCM(73353,73365) = ( 73353 × 73365) / 3
LCM(73353,73365) = 5381542845 / 3
LCM(73353,73365) = 1793847615

Least Common Multiple (LCM) of 73353 and 73365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73353 and 73365. First we will calculate the prime factors of 73353 and 73365.

Prime Factorization of 73353

Prime Factorization of 73365

Now multiplying the highest exponent prime factors to calculate the LCM of 73353 and 73365.

LCM(73353,73365) = 3¹ × 7² × 499¹ × 5¹ × 67¹ × 73¹
LCM(73353,73365) = 1793847615