What is the Least Common Multiple of 36281 and 36299?

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 36281 and 36299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36281 and 36299, than apply into the LCM equation.

GCF(36281,36299) = 1
LCM(36281,36299) = ( 36281 × 36299) / 1
LCM(36281,36299) = 1316964019 / 1
LCM(36281,36299) = 1316964019

Least Common Multiple (LCM) of 36281 and 36299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36281 and 36299. First we will calculate the prime factors of 36281 and 36299.

Prime Factorization of 36281

Prime Factorization of 36299

Now multiplying the highest exponent prime factors to calculate the LCM of 36281 and 36299.

LCM(36281,36299) = 7¹ × 71¹ × 73¹ × 36299¹
LCM(36281,36299) = 1316964019