What is the Least Common Multiple of 73359 and 73374?

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 73374 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 73374, than apply into the LCM equation.

GCF(73359,73374) = 3
LCM(73359,73374) = ( 73359 × 73374) / 3
LCM(73359,73374) = 5382643266 / 3
LCM(73359,73374) = 1794214422

Least Common Multiple (LCM) of 73359 and 73374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73359 and 73374. First we will calculate the prime factors of 73359 and 73374.

Prime Factorization of 73359

Prime Factorization of 73374

Now multiplying the highest exponent prime factors to calculate the LCM of 73359 and 73374.

LCM(73359,73374) = 3³ × 11¹ × 13¹ × 19¹ × 2¹ × 7¹ × 1747¹
LCM(73359,73374) = 1794214422