What is the Least Common Multiple of 36849 and 36867?

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 36849 and 36867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36849 and 36867, than apply into the LCM equation.

GCF(36849,36867) = 3
LCM(36849,36867) = ( 36849 × 36867) / 3
LCM(36849,36867) = 1358512083 / 3
LCM(36849,36867) = 452837361

Least Common Multiple (LCM) of 36849 and 36867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36849 and 36867. First we will calculate the prime factors of 36849 and 36867.

Prime Factorization of 36849

Prime Factorization of 36867

Now multiplying the highest exponent prime factors to calculate the LCM of 36849 and 36867.

LCM(36849,36867) = 3¹ × 71¹ × 173¹ × 12289¹
LCM(36849,36867) = 452837361