What is the Least Common Multiple of 22825 and 22844?

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 22825 and 22844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22825 and 22844, than apply into the LCM equation.

GCF(22825,22844) = 1
LCM(22825,22844) = ( 22825 × 22844) / 1
LCM(22825,22844) = 521414300 / 1
LCM(22825,22844) = 521414300

Least Common Multiple (LCM) of 22825 and 22844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22825 and 22844. First we will calculate the prime factors of 22825 and 22844.

Prime Factorization of 22825

Prime Factorization of 22844

Now multiplying the highest exponent prime factors to calculate the LCM of 22825 and 22844.

LCM(22825,22844) = 5² × 11¹ × 83¹ × 2² × 5711¹
LCM(22825,22844) = 521414300