What is the Least Common Multiple of 36872 and 36889?

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 36872 and 36889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36872 and 36889, than apply into the LCM equation.

GCF(36872,36889) = 1
LCM(36872,36889) = ( 36872 × 36889) / 1
LCM(36872,36889) = 1360171208 / 1
LCM(36872,36889) = 1360171208

Least Common Multiple (LCM) of 36872 and 36889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36872 and 36889. First we will calculate the prime factors of 36872 and 36889.

Prime Factorization of 36872

Prime Factorization of 36889

Now multiplying the highest exponent prime factors to calculate the LCM of 36872 and 36889.

LCM(36872,36889) = 2³ × 11¹ × 419¹ × 37¹ × 997¹
LCM(36872,36889) = 1360171208