What is the Least Common Multiple of 83325 and 83344?

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 83325 and 83344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83325 and 83344, than apply into the LCM equation.

GCF(83325,83344) = 1
LCM(83325,83344) = ( 83325 × 83344) / 1
LCM(83325,83344) = 6944638800 / 1
LCM(83325,83344) = 6944638800

Least Common Multiple (LCM) of 83325 and 83344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83325 and 83344. First we will calculate the prime factors of 83325 and 83344.

Prime Factorization of 83325

Prime Factorization of 83344

Now multiplying the highest exponent prime factors to calculate the LCM of 83325 and 83344.

LCM(83325,83344) = 3¹ × 5² × 11¹ × 101¹ × 2⁴ × 5209¹
LCM(83325,83344) = 6944638800