What is the Least Common Multiple of 21215 and 21232?

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 21215 and 21232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21215 and 21232, than apply into the LCM equation.

GCF(21215,21232) = 1
LCM(21215,21232) = ( 21215 × 21232) / 1
LCM(21215,21232) = 450436880 / 1
LCM(21215,21232) = 450436880

Least Common Multiple (LCM) of 21215 and 21232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21215 and 21232. First we will calculate the prime factors of 21215 and 21232.

Prime Factorization of 21215

Prime Factorization of 21232

Now multiplying the highest exponent prime factors to calculate the LCM of 21215 and 21232.

LCM(21215,21232) = 5¹ × 4243¹ × 2⁴ × 1327¹
LCM(21215,21232) = 450436880