What is the Least Common Multiple of 10836 and 10848?

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 10836 and 10848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10836 and 10848, than apply into the LCM equation.

GCF(10836,10848) = 12
LCM(10836,10848) = ( 10836 × 10848) / 12
LCM(10836,10848) = 117548928 / 12
LCM(10836,10848) = 9795744

Least Common Multiple (LCM) of 10836 and 10848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10836 and 10848. First we will calculate the prime factors of 10836 and 10848.

Prime Factorization of 10836

Prime Factorization of 10848

Now multiplying the highest exponent prime factors to calculate the LCM of 10836 and 10848.

LCM(10836,10848) = 2⁵ × 3² × 7¹ × 43¹ × 113¹
LCM(10836,10848) = 9795744