What is the Least Common Multiple of 10825 and 10834?

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 10825 and 10834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10825 and 10834, than apply into the LCM equation.

GCF(10825,10834) = 1
LCM(10825,10834) = ( 10825 × 10834) / 1
LCM(10825,10834) = 117278050 / 1
LCM(10825,10834) = 117278050

Least Common Multiple (LCM) of 10825 and 10834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10825 and 10834. First we will calculate the prime factors of 10825 and 10834.

Prime Factorization of 10825

Prime Factorization of 10834

Now multiplying the highest exponent prime factors to calculate the LCM of 10825 and 10834.

LCM(10825,10834) = 5² × 433¹ × 2¹ × 5417¹
LCM(10825,10834) = 117278050