What is the Least Common Multiple of 36309 and 36314?

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 36309 and 36314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36309 and 36314, than apply into the LCM equation.

GCF(36309,36314) = 1
LCM(36309,36314) = ( 36309 × 36314) / 1
LCM(36309,36314) = 1318525026 / 1
LCM(36309,36314) = 1318525026

Least Common Multiple (LCM) of 36309 and 36314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36309 and 36314. First we will calculate the prime factors of 36309 and 36314.

Prime Factorization of 36309

Prime Factorization of 36314

Now multiplying the highest exponent prime factors to calculate the LCM of 36309 and 36314.

LCM(36309,36314) = 3¹ × 7² × 13¹ × 19¹ × 2¹ × 67¹ × 271¹
LCM(36309,36314) = 1318525026