What is the Least Common Multiple of 36465 and 36474?

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 36474 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 36474, than apply into the LCM equation.

GCF(36465,36474) = 3
LCM(36465,36474) = ( 36465 × 36474) / 3
LCM(36465,36474) = 1330024410 / 3
LCM(36465,36474) = 443341470

Least Common Multiple (LCM) of 36465 and 36474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36465 and 36474. First we will calculate the prime factors of 36465 and 36474.

Prime Factorization of 36465

Prime Factorization of 36474

Now multiplying the highest exponent prime factors to calculate the LCM of 36465 and 36474.

LCM(36465,36474) = 3¹ × 5¹ × 11¹ × 13¹ × 17¹ × 2¹ × 6079¹
LCM(36465,36474) = 443341470