What is the Least Common Multiple of 20904 and 20914?

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 20904 and 20914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20904 and 20914, than apply into the LCM equation.

GCF(20904,20914) = 2
LCM(20904,20914) = ( 20904 × 20914) / 2
LCM(20904,20914) = 437186256 / 2
LCM(20904,20914) = 218593128

Least Common Multiple (LCM) of 20904 and 20914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20904 and 20914. First we will calculate the prime factors of 20904 and 20914.

Prime Factorization of 20904

Prime Factorization of 20914

Now multiplying the highest exponent prime factors to calculate the LCM of 20904 and 20914.

LCM(20904,20914) = 2³ × 3¹ × 13¹ × 67¹ × 10457¹
LCM(20904,20914) = 218593128