What is the Least Common Multiple of 21195 and 21215?

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 21195 and 21215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21195 and 21215, than apply into the LCM equation.

GCF(21195,21215) = 5
LCM(21195,21215) = ( 21195 × 21215) / 5
LCM(21195,21215) = 449651925 / 5
LCM(21195,21215) = 89930385

Least Common Multiple (LCM) of 21195 and 21215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21195 and 21215. First we will calculate the prime factors of 21195 and 21215.

Prime Factorization of 21195

Prime Factorization of 21215

Now multiplying the highest exponent prime factors to calculate the LCM of 21195 and 21215.

LCM(21195,21215) = 3³ × 5¹ × 157¹ × 4243¹
LCM(21195,21215) = 89930385