What is the Least Common Multiple of 10350 and 10368?

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 10350 and 10368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10350 and 10368, than apply into the LCM equation.

GCF(10350,10368) = 18
LCM(10350,10368) = ( 10350 × 10368) / 18
LCM(10350,10368) = 107308800 / 18
LCM(10350,10368) = 5961600

Least Common Multiple (LCM) of 10350 and 10368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10350 and 10368. First we will calculate the prime factors of 10350 and 10368.

Prime Factorization of 10350

Prime Factorization of 10368

Now multiplying the highest exponent prime factors to calculate the LCM of 10350 and 10368.

LCM(10350,10368) = 2⁷ × 3⁴ × 5² × 23¹
LCM(10350,10368) = 5961600