What is the Least Common Multiple of 36861 and 36879?

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 36861 and 36879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36861 and 36879, than apply into the LCM equation.

GCF(36861,36879) = 3
LCM(36861,36879) = ( 36861 × 36879) / 3
LCM(36861,36879) = 1359396819 / 3
LCM(36861,36879) = 453132273

Least Common Multiple (LCM) of 36861 and 36879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36861 and 36879. First we will calculate the prime factors of 36861 and 36879.

Prime Factorization of 36861

Prime Factorization of 36879

Now multiplying the highest exponent prime factors to calculate the LCM of 36861 and 36879.

LCM(36861,36879) = 3¹ × 11¹ × 1117¹ × 19¹ × 647¹
LCM(36861,36879) = 453132273