What is the Least Common Multiple of 28923 and 28939?

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 28923 and 28939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28923 and 28939, than apply into the LCM equation.

GCF(28923,28939) = 1
LCM(28923,28939) = ( 28923 × 28939) / 1
LCM(28923,28939) = 837002697 / 1
LCM(28923,28939) = 837002697

Least Common Multiple (LCM) of 28923 and 28939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28923 and 28939. First we will calculate the prime factors of 28923 and 28939.

Prime Factorization of 28923

Prime Factorization of 28939

Now multiplying the highest exponent prime factors to calculate the LCM of 28923 and 28939.

LCM(28923,28939) = 3¹ × 31¹ × 311¹ × 43¹ × 673¹
LCM(28923,28939) = 837002697