What is the Least Common Multiple of 83334 and 83346?

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 83346 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 83346, than apply into the LCM equation.

GCF(83334,83346) = 6
LCM(83334,83346) = ( 83334 × 83346) / 6
LCM(83334,83346) = 6945555564 / 6
LCM(83334,83346) = 1157592594

Least Common Multiple (LCM) of 83334 and 83346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83334 and 83346. First we will calculate the prime factors of 83334 and 83346.

Prime Factorization of 83334

Prime Factorization of 83346

Now multiplying the highest exponent prime factors to calculate the LCM of 83334 and 83346.

LCM(83334,83346) = 2¹ × 3¹ × 17¹ × 19¹ × 43¹ × 29¹ × 479¹
LCM(83334,83346) = 1157592594