What is the Least Common Multiple of 14904 and 14914?

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 14904 and 14914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14904 and 14914, than apply into the LCM equation.

GCF(14904,14914) = 2
LCM(14904,14914) = ( 14904 × 14914) / 2
LCM(14904,14914) = 222278256 / 2
LCM(14904,14914) = 111139128

Least Common Multiple (LCM) of 14904 and 14914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14904 and 14914. First we will calculate the prime factors of 14904 and 14914.

Prime Factorization of 14904

Prime Factorization of 14914

Now multiplying the highest exponent prime factors to calculate the LCM of 14904 and 14914.

LCM(14904,14914) = 2³ × 3⁴ × 23¹ × 7457¹
LCM(14904,14914) = 111139128