What is the Least Common Multiple of 21814 and 21825?

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 21814 and 21825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21814 and 21825, than apply into the LCM equation.

GCF(21814,21825) = 1
LCM(21814,21825) = ( 21814 × 21825) / 1
LCM(21814,21825) = 476090550 / 1
LCM(21814,21825) = 476090550

Least Common Multiple (LCM) of 21814 and 21825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21814 and 21825. First we will calculate the prime factors of 21814 and 21825.

Prime Factorization of 21814

Prime Factorization of 21825

Now multiplying the highest exponent prime factors to calculate the LCM of 21814 and 21825.

LCM(21814,21825) = 2¹ × 13¹ × 839¹ × 3² × 5² × 97¹
LCM(21814,21825) = 476090550