What is the Least Common Multiple of 36906 and 36926?

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 36906 and 36926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36906 and 36926, than apply into the LCM equation.

GCF(36906,36926) = 2
LCM(36906,36926) = ( 36906 × 36926) / 2
LCM(36906,36926) = 1362790956 / 2
LCM(36906,36926) = 681395478

Least Common Multiple (LCM) of 36906 and 36926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36906 and 36926. First we will calculate the prime factors of 36906 and 36926.

Prime Factorization of 36906

Prime Factorization of 36926

Now multiplying the highest exponent prime factors to calculate the LCM of 36906 and 36926.

LCM(36906,36926) = 2¹ × 3¹ × 6151¹ × 37¹ × 499¹
LCM(36906,36926) = 681395478