What is the Least Common Multiple of 28905 and 28923?

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 28905 and 28923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28905 and 28923, than apply into the LCM equation.

GCF(28905,28923) = 3
LCM(28905,28923) = ( 28905 × 28923) / 3
LCM(28905,28923) = 836019315 / 3
LCM(28905,28923) = 278673105

Least Common Multiple (LCM) of 28905 and 28923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28905 and 28923. First we will calculate the prime factors of 28905 and 28923.

Prime Factorization of 28905

Prime Factorization of 28923

Now multiplying the highest exponent prime factors to calculate the LCM of 28905 and 28923.

LCM(28905,28923) = 3¹ × 5¹ × 41¹ × 47¹ × 31¹ × 311¹
LCM(28905,28923) = 278673105