What is the Least Common Multiple of 28104 and 28117?

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 28117 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 28117, than apply into the LCM equation.

GCF(28104,28117) = 1
LCM(28104,28117) = ( 28104 × 28117) / 1
LCM(28104,28117) = 790200168 / 1
LCM(28104,28117) = 790200168

Least Common Multiple (LCM) of 28104 and 28117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28104 and 28117. First we will calculate the prime factors of 28104 and 28117.

Prime Factorization of 28104

Prime Factorization of 28117

Now multiplying the highest exponent prime factors to calculate the LCM of 28104 and 28117.

LCM(28104,28117) = 2³ × 3¹ × 1171¹ × 31¹ × 907¹
LCM(28104,28117) = 790200168