What is the Least Common Multiple of 21825 and 21836?

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 21825 and 21836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21825 and 21836, than apply into the LCM equation.

GCF(21825,21836) = 1
LCM(21825,21836) = ( 21825 × 21836) / 1
LCM(21825,21836) = 476570700 / 1
LCM(21825,21836) = 476570700

Least Common Multiple (LCM) of 21825 and 21836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21825 and 21836. First we will calculate the prime factors of 21825 and 21836.

Prime Factorization of 21825

Prime Factorization of 21836

Now multiplying the highest exponent prime factors to calculate the LCM of 21825 and 21836.

LCM(21825,21836) = 3² × 5² × 97¹ × 2² × 53¹ × 103¹
LCM(21825,21836) = 476570700