What is the Least Common Multiple of 84195 and 84215?

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 84195 and 84215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84195 and 84215, than apply into the LCM equation.

GCF(84195,84215) = 5
LCM(84195,84215) = ( 84195 × 84215) / 5
LCM(84195,84215) = 7090481925 / 5
LCM(84195,84215) = 1418096385

Least Common Multiple (LCM) of 84195 and 84215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84195 and 84215. First we will calculate the prime factors of 84195 and 84215.

Prime Factorization of 84195

Prime Factorization of 84215

Now multiplying the highest exponent prime factors to calculate the LCM of 84195 and 84215.

LCM(84195,84215) = 3² × 5¹ × 1871¹ × 16843¹
LCM(84195,84215) = 1418096385