What is the Least Common Multiple of 10812 and 10825?

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 10812 and 10825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10812 and 10825, than apply into the LCM equation.

GCF(10812,10825) = 1
LCM(10812,10825) = ( 10812 × 10825) / 1
LCM(10812,10825) = 117039900 / 1
LCM(10812,10825) = 117039900

Least Common Multiple (LCM) of 10812 and 10825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10812 and 10825. First we will calculate the prime factors of 10812 and 10825.

Prime Factorization of 10812

Prime Factorization of 10825

Now multiplying the highest exponent prime factors to calculate the LCM of 10812 and 10825.

LCM(10812,10825) = 2² × 3¹ × 17¹ × 53¹ × 5² × 433¹
LCM(10812,10825) = 117039900