What is the Least Common Multiple of 74310 and 74329?

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 74310 and 74329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74310 and 74329, than apply into the LCM equation.

GCF(74310,74329) = 1
LCM(74310,74329) = ( 74310 × 74329) / 1
LCM(74310,74329) = 5523387990 / 1
LCM(74310,74329) = 5523387990

Least Common Multiple (LCM) of 74310 and 74329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74310 and 74329. First we will calculate the prime factors of 74310 and 74329.

Prime Factorization of 74310

Prime Factorization of 74329

Now multiplying the highest exponent prime factors to calculate the LCM of 74310 and 74329.

LCM(74310,74329) = 2¹ × 3¹ × 5¹ × 2477¹ × 239¹ × 311¹
LCM(74310,74329) = 5523387990