What is the Least Common Multiple of 83405 and 83412?

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 83405 and 83412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83405 and 83412, than apply into the LCM equation.

GCF(83405,83412) = 7
LCM(83405,83412) = ( 83405 × 83412) / 7
LCM(83405,83412) = 6956977860 / 7
LCM(83405,83412) = 993853980

Least Common Multiple (LCM) of 83405 and 83412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83405 and 83412. First we will calculate the prime factors of 83405 and 83412.

Prime Factorization of 83405

Prime Factorization of 83412

Now multiplying the highest exponent prime factors to calculate the LCM of 83405 and 83412.

LCM(83405,83412) = 5¹ × 7¹ × 2383¹ × 2² × 3² × 331¹
LCM(83405,83412) = 993853980