What is the Least Common Multiple of 30906 and 30923?

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 30906 and 30923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30906 and 30923, than apply into the LCM equation.

GCF(30906,30923) = 17
LCM(30906,30923) = ( 30906 × 30923) / 17
LCM(30906,30923) = 955706238 / 17
LCM(30906,30923) = 56218014

Least Common Multiple (LCM) of 30906 and 30923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30906 and 30923. First we will calculate the prime factors of 30906 and 30923.

Prime Factorization of 30906

Prime Factorization of 30923

Now multiplying the highest exponent prime factors to calculate the LCM of 30906 and 30923.

LCM(30906,30923) = 2¹ × 3² × 17² × 101¹ × 107¹
LCM(30906,30923) = 56218014