What is the Least Common Multiple of 83909 and 83923?

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 83909 and 83923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83909 and 83923, than apply into the LCM equation.

GCF(83909,83923) = 7
LCM(83909,83923) = ( 83909 × 83923) / 7
LCM(83909,83923) = 7041895007 / 7
LCM(83909,83923) = 1005985001

Least Common Multiple (LCM) of 83909 and 83923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83909 and 83923. First we will calculate the prime factors of 83909 and 83923.

Prime Factorization of 83909

Prime Factorization of 83923

Now multiplying the highest exponent prime factors to calculate the LCM of 83909 and 83923.

LCM(83909,83923) = 7¹ × 11987¹ × 19¹ × 631¹
LCM(83909,83923) = 1005985001