What is the Least Common Multiple of 10825 and 10830?

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 10830 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 10830, than apply into the LCM equation.

GCF(10825,10830) = 5
LCM(10825,10830) = ( 10825 × 10830) / 5
LCM(10825,10830) = 117234750 / 5
LCM(10825,10830) = 23446950

Least Common Multiple (LCM) of 10825 and 10830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10825 and 10830. First we will calculate the prime factors of 10825 and 10830.

Prime Factorization of 10825

Prime Factorization of 10830

Now multiplying the highest exponent prime factors to calculate the LCM of 10825 and 10830.

LCM(10825,10830) = 5² × 433¹ × 2¹ × 3¹ × 19²
LCM(10825,10830) = 23446950