What is the Least Common Multiple of 83108 and 83123?

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 83108 and 83123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83108 and 83123, than apply into the LCM equation.

GCF(83108,83123) = 1
LCM(83108,83123) = ( 83108 × 83123) / 1
LCM(83108,83123) = 6908186284 / 1
LCM(83108,83123) = 6908186284

Least Common Multiple (LCM) of 83108 and 83123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83108 and 83123. First we will calculate the prime factors of 83108 and 83123.

Prime Factorization of 83108

Prime Factorization of 83123

Now multiplying the highest exponent prime factors to calculate the LCM of 83108 and 83123.

LCM(83108,83123) = 2² × 79¹ × 263¹ × 101¹ × 823¹
LCM(83108,83123) = 6908186284