What is the Least Common Multiple of 83123 and 83128?

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 83123 and 83128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83123 and 83128, than apply into the LCM equation.

GCF(83123,83128) = 1
LCM(83123,83128) = ( 83123 × 83128) / 1
LCM(83123,83128) = 6909848744 / 1
LCM(83123,83128) = 6909848744

Least Common Multiple (LCM) of 83123 and 83128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83123 and 83128. First we will calculate the prime factors of 83123 and 83128.

Prime Factorization of 83123

Prime Factorization of 83128

Now multiplying the highest exponent prime factors to calculate the LCM of 83123 and 83128.

LCM(83123,83128) = 101¹ × 823¹ × 2³ × 10391¹
LCM(83123,83128) = 6909848744