What is the Least Common Multiple of 55904 and 55914?

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 55904 and 55914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55904 and 55914, than apply into the LCM equation.

GCF(55904,55914) = 2
LCM(55904,55914) = ( 55904 × 55914) / 2
LCM(55904,55914) = 3125816256 / 2
LCM(55904,55914) = 1562908128

Least Common Multiple (LCM) of 55904 and 55914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55904 and 55914. First we will calculate the prime factors of 55904 and 55914.

Prime Factorization of 55904

Prime Factorization of 55914

Now multiplying the highest exponent prime factors to calculate the LCM of 55904 and 55914.

LCM(55904,55914) = 2⁵ × 1747¹ × 3¹ × 9319¹
LCM(55904,55914) = 1562908128