What is the Least Common Multiple of 36175 and 36188?

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 36175 and 36188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36175 and 36188, than apply into the LCM equation.

GCF(36175,36188) = 1
LCM(36175,36188) = ( 36175 × 36188) / 1
LCM(36175,36188) = 1309100900 / 1
LCM(36175,36188) = 1309100900

Least Common Multiple (LCM) of 36175 and 36188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36175 and 36188. First we will calculate the prime factors of 36175 and 36188.

Prime Factorization of 36175

Prime Factorization of 36188

Now multiplying the highest exponent prime factors to calculate the LCM of 36175 and 36188.

LCM(36175,36188) = 5² × 1447¹ × 2² × 83¹ × 109¹
LCM(36175,36188) = 1309100900