What is the Least Common Multiple of 83923 and 83937?

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 83923 and 83937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83923 and 83937, than apply into the LCM equation.

GCF(83923,83937) = 7
LCM(83923,83937) = ( 83923 × 83937) / 7
LCM(83923,83937) = 7044244851 / 7
LCM(83923,83937) = 1006320693

Least Common Multiple (LCM) of 83923 and 83937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83923 and 83937. First we will calculate the prime factors of 83923 and 83937.

Prime Factorization of 83923

Prime Factorization of 83937

Now multiplying the highest exponent prime factors to calculate the LCM of 83923 and 83937.

LCM(83923,83937) = 7² × 19¹ × 631¹ × 3¹ × 571¹
LCM(83923,83937) = 1006320693