What is the Least Common Multiple of 10320 and 10329?

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 10320 and 10329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10320 and 10329, than apply into the LCM equation.

GCF(10320,10329) = 3
LCM(10320,10329) = ( 10320 × 10329) / 3
LCM(10320,10329) = 106595280 / 3
LCM(10320,10329) = 35531760

Least Common Multiple (LCM) of 10320 and 10329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10329. First we will calculate the prime factors of 10320 and 10329.

Prime Factorization of 10320

Prime Factorization of 10329

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10329.

LCM(10320,10329) = 2⁴ × 3¹ × 5¹ × 43¹ × 11¹ × 313¹
LCM(10320,10329) = 35531760