What is the Least Common Multiple of 36314 and 36331?

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 36314 and 36331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36314 and 36331, than apply into the LCM equation.

GCF(36314,36331) = 1
LCM(36314,36331) = ( 36314 × 36331) / 1
LCM(36314,36331) = 1319323934 / 1
LCM(36314,36331) = 1319323934

Least Common Multiple (LCM) of 36314 and 36331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36314 and 36331. First we will calculate the prime factors of 36314 and 36331.

Prime Factorization of 36314

Prime Factorization of 36331

Now multiplying the highest exponent prime factors to calculate the LCM of 36314 and 36331.

LCM(36314,36331) = 2¹ × 67¹ × 271¹ × 47¹ × 773¹
LCM(36314,36331) = 1319323934