What is the Least Common Multiple of 36886 and 36906?

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 36886 and 36906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36886 and 36906, than apply into the LCM equation.

GCF(36886,36906) = 2
LCM(36886,36906) = ( 36886 × 36906) / 2
LCM(36886,36906) = 1361314716 / 2
LCM(36886,36906) = 680657358

Least Common Multiple (LCM) of 36886 and 36906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36886 and 36906. First we will calculate the prime factors of 36886 and 36906.

Prime Factorization of 36886

Prime Factorization of 36906

Now multiplying the highest exponent prime factors to calculate the LCM of 36886 and 36906.

LCM(36886,36906) = 2¹ × 18443¹ × 3¹ × 6151¹
LCM(36886,36906) = 680657358