What is the Least Common Multiple of 28104 and 28123?

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 28104 and 28123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28104 and 28123, than apply into the LCM equation.

GCF(28104,28123) = 1
LCM(28104,28123) = ( 28104 × 28123) / 1
LCM(28104,28123) = 790368792 / 1
LCM(28104,28123) = 790368792

Least Common Multiple (LCM) of 28104 and 28123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28104 and 28123. First we will calculate the prime factors of 28104 and 28123.

Prime Factorization of 28104

Prime Factorization of 28123

Now multiplying the highest exponent prime factors to calculate the LCM of 28104 and 28123.

LCM(28104,28123) = 2³ × 3¹ × 1171¹ × 28123¹
LCM(28104,28123) = 790368792