What is the Least Common Multiple of 73359 and 73366?

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 73359 and 73366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73359 and 73366, than apply into the LCM equation.

GCF(73359,73366) = 1
LCM(73359,73366) = ( 73359 × 73366) / 1
LCM(73359,73366) = 5382056394 / 1
LCM(73359,73366) = 5382056394

Least Common Multiple (LCM) of 73359 and 73366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73359 and 73366. First we will calculate the prime factors of 73359 and 73366.

Prime Factorization of 73359

Prime Factorization of 73366

Now multiplying the highest exponent prime factors to calculate the LCM of 73359 and 73366.

LCM(73359,73366) = 3³ × 11¹ × 13¹ × 19¹ × 2¹ × 36683¹
LCM(73359,73366) = 5382056394