What is the Least Common Multiple of 84205 and 84212?

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 84205 and 84212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84205 and 84212, than apply into the LCM equation.

GCF(84205,84212) = 1
LCM(84205,84212) = ( 84205 × 84212) / 1
LCM(84205,84212) = 7091071460 / 1
LCM(84205,84212) = 7091071460

Least Common Multiple (LCM) of 84205 and 84212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84205 and 84212. First we will calculate the prime factors of 84205 and 84212.

Prime Factorization of 84205

Prime Factorization of 84212

Now multiplying the highest exponent prime factors to calculate the LCM of 84205 and 84212.

LCM(84205,84212) = 5¹ × 11¹ × 1531¹ × 2² × 37¹ × 569¹
LCM(84205,84212) = 7091071460