What is the Least Common Multiple of 36923 and 36929?

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 36923 and 36929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36923 and 36929, than apply into the LCM equation.

GCF(36923,36929) = 1
LCM(36923,36929) = ( 36923 × 36929) / 1
LCM(36923,36929) = 1363529467 / 1
LCM(36923,36929) = 1363529467

Least Common Multiple (LCM) of 36923 and 36929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36923 and 36929. First we will calculate the prime factors of 36923 and 36929.

Prime Factorization of 36923

Prime Factorization of 36929

Now multiplying the highest exponent prime factors to calculate the LCM of 36923 and 36929.

LCM(36923,36929) = 36923¹ × 36929¹
LCM(36923,36929) = 1363529467