What is the Least Common Multiple of 10320 and 10327?

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 10327 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 10327, than apply into the LCM equation.

GCF(10320,10327) = 1
LCM(10320,10327) = ( 10320 × 10327) / 1
LCM(10320,10327) = 106574640 / 1
LCM(10320,10327) = 106574640

Least Common Multiple (LCM) of 10320 and 10327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10327. First we will calculate the prime factors of 10320 and 10327.

Prime Factorization of 10320

Prime Factorization of 10327

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10327.

LCM(10320,10327) = 2⁴ × 3¹ × 5¹ × 43¹ × 23¹ × 449¹
LCM(10320,10327) = 106574640