What is the Least Common Multiple of 83336 and 83342?

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 83336 and 83342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83336 and 83342, than apply into the LCM equation.

GCF(83336,83342) = 2
LCM(83336,83342) = ( 83336 × 83342) / 2
LCM(83336,83342) = 6945388912 / 2
LCM(83336,83342) = 3472694456

Least Common Multiple (LCM) of 83336 and 83342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83336 and 83342. First we will calculate the prime factors of 83336 and 83342.

Prime Factorization of 83336

Prime Factorization of 83342

Now multiplying the highest exponent prime factors to calculate the LCM of 83336 and 83342.

LCM(83336,83342) = 2³ × 11¹ × 947¹ × 7¹ × 5953¹
LCM(83336,83342) = 3472694456