What is the Least Common Multiple of 21325 and 21332?

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 21325 and 21332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21325 and 21332, than apply into the LCM equation.

GCF(21325,21332) = 1
LCM(21325,21332) = ( 21325 × 21332) / 1
LCM(21325,21332) = 454904900 / 1
LCM(21325,21332) = 454904900

Least Common Multiple (LCM) of 21325 and 21332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21325 and 21332. First we will calculate the prime factors of 21325 and 21332.

Prime Factorization of 21325

Prime Factorization of 21332

Now multiplying the highest exponent prime factors to calculate the LCM of 21325 and 21332.

LCM(21325,21332) = 5² × 853¹ × 2² × 5333¹
LCM(21325,21332) = 454904900