What is the Least Common Multiple of 36465 and 36471?

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 36465 and 36471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36465 and 36471, than apply into the LCM equation.

GCF(36465,36471) = 3
LCM(36465,36471) = ( 36465 × 36471) / 3
LCM(36465,36471) = 1329915015 / 3
LCM(36465,36471) = 443305005

Least Common Multiple (LCM) of 36465 and 36471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36465 and 36471. First we will calculate the prime factors of 36465 and 36471.

Prime Factorization of 36465

Prime Factorization of 36471

Now multiplying the highest exponent prime factors to calculate the LCM of 36465 and 36471.

LCM(36465,36471) = 3¹ × 5¹ × 11¹ × 13¹ × 17¹ × 12157¹
LCM(36465,36471) = 443305005