What is the Least Common Multiple of 28101 and 28107?

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 28101 and 28107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28101 and 28107, than apply into the LCM equation.

GCF(28101,28107) = 3
LCM(28101,28107) = ( 28101 × 28107) / 3
LCM(28101,28107) = 789834807 / 3
LCM(28101,28107) = 263278269

Least Common Multiple (LCM) of 28101 and 28107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28101 and 28107. First we will calculate the prime factors of 28101 and 28107.

Prime Factorization of 28101

Prime Factorization of 28107

Now multiplying the highest exponent prime factors to calculate the LCM of 28101 and 28107.

LCM(28101,28107) = 3⁴ × 17¹ × 19¹ × 29¹ × 347¹
LCM(28101,28107) = 263278269