What is the Least Common Multiple of 36849 and 36863?

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 36863 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 36863, than apply into the LCM equation.

GCF(36849,36863) = 1
LCM(36849,36863) = ( 36849 × 36863) / 1
LCM(36849,36863) = 1358364687 / 1
LCM(36849,36863) = 1358364687

Least Common Multiple (LCM) of 36849 and 36863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36849 and 36863. First we will calculate the prime factors of 36849 and 36863.

Prime Factorization of 36849

Prime Factorization of 36863

Now multiplying the highest exponent prime factors to calculate the LCM of 36849 and 36863.

LCM(36849,36863) = 3¹ × 71¹ × 173¹ × 191¹ × 193¹
LCM(36849,36863) = 1358364687