What is the Least Common Multiple of 23105 and 23117?

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 23105 and 23117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23105 and 23117, than apply into the LCM equation.

GCF(23105,23117) = 1
LCM(23105,23117) = ( 23105 × 23117) / 1
LCM(23105,23117) = 534118285 / 1
LCM(23105,23117) = 534118285

Least Common Multiple (LCM) of 23105 and 23117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23105 and 23117. First we will calculate the prime factors of 23105 and 23117.

Prime Factorization of 23105

Prime Factorization of 23117

Now multiplying the highest exponent prime factors to calculate the LCM of 23105 and 23117.

LCM(23105,23117) = 5¹ × 4621¹ × 23117¹
LCM(23105,23117) = 534118285