What is the Least Common Multiple of 83334 and 83351?

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 83334 and 83351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83334 and 83351, than apply into the LCM equation.

GCF(83334,83351) = 17
LCM(83334,83351) = ( 83334 × 83351) / 17
LCM(83334,83351) = 6945972234 / 17
LCM(83334,83351) = 408586602

Least Common Multiple (LCM) of 83334 and 83351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83334 and 83351. First we will calculate the prime factors of 83334 and 83351.

Prime Factorization of 83334

Prime Factorization of 83351

Now multiplying the highest exponent prime factors to calculate the LCM of 83334 and 83351.

LCM(83334,83351) = 2¹ × 3¹ × 17¹ × 19¹ × 43¹ × 4903¹
LCM(83334,83351) = 408586602