What is the Least Common Multiple of 28923 and 28932?

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 28932 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 28932, than apply into the LCM equation.

GCF(28923,28932) = 3
LCM(28923,28932) = ( 28923 × 28932) / 3
LCM(28923,28932) = 836800236 / 3
LCM(28923,28932) = 278933412

Least Common Multiple (LCM) of 28923 and 28932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28923 and 28932. First we will calculate the prime factors of 28923 and 28932.

Prime Factorization of 28923

Prime Factorization of 28932

Now multiplying the highest exponent prime factors to calculate the LCM of 28923 and 28932.

LCM(28923,28932) = 3¹ × 31¹ × 311¹ × 2² × 2411¹
LCM(28923,28932) = 278933412