What is the Least Common Multiple of 36869 and 36887?

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 36869 and 36887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36869 and 36887, than apply into the LCM equation.

GCF(36869,36887) = 1
LCM(36869,36887) = ( 36869 × 36887) / 1
LCM(36869,36887) = 1359986803 / 1
LCM(36869,36887) = 1359986803

Least Common Multiple (LCM) of 36869 and 36887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36869 and 36887. First we will calculate the prime factors of 36869 and 36887.

Prime Factorization of 36869

Prime Factorization of 36887

Now multiplying the highest exponent prime factors to calculate the LCM of 36869 and 36887.

LCM(36869,36887) = 7¹ × 23¹ × 229¹ × 36887¹
LCM(36869,36887) = 1359986803