What is the Least Common Multiple of 83343 and 83352?

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 83343 and 83352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83343 and 83352, than apply into the LCM equation.

GCF(83343,83352) = 3
LCM(83343,83352) = ( 83343 × 83352) / 3
LCM(83343,83352) = 6946805736 / 3
LCM(83343,83352) = 2315601912

Least Common Multiple (LCM) of 83343 and 83352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83343 and 83352. First we will calculate the prime factors of 83343 and 83352.

Prime Factorization of 83343

Prime Factorization of 83352

Now multiplying the highest exponent prime factors to calculate the LCM of 83343 and 83352.

LCM(83343,83352) = 3¹ × 13¹ × 2137¹ × 2³ × 23¹ × 151¹
LCM(83343,83352) = 2315601912