What is the Least Common Multiple of 38904 and 38923?

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 38904 and 38923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38904 and 38923, than apply into the LCM equation.

GCF(38904,38923) = 1
LCM(38904,38923) = ( 38904 × 38923) / 1
LCM(38904,38923) = 1514260392 / 1
LCM(38904,38923) = 1514260392

Least Common Multiple (LCM) of 38904 and 38923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38904 and 38923. First we will calculate the prime factors of 38904 and 38923.

Prime Factorization of 38904

Prime Factorization of 38923

Now multiplying the highest exponent prime factors to calculate the LCM of 38904 and 38923.

LCM(38904,38923) = 2³ × 3¹ × 1621¹ × 38923¹
LCM(38904,38923) = 1514260392