What is the Least Common Multiple of 10284 and 10296?

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 10284 and 10296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10284 and 10296, than apply into the LCM equation.

GCF(10284,10296) = 12
LCM(10284,10296) = ( 10284 × 10296) / 12
LCM(10284,10296) = 105884064 / 12
LCM(10284,10296) = 8823672

Least Common Multiple (LCM) of 10284 and 10296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10284 and 10296. First we will calculate the prime factors of 10284 and 10296.

Prime Factorization of 10284

Prime Factorization of 10296

Now multiplying the highest exponent prime factors to calculate the LCM of 10284 and 10296.

LCM(10284,10296) = 2³ × 3² × 857¹ × 11¹ × 13¹
LCM(10284,10296) = 8823672