What is the Least Common Multiple of 58904 and 58914?

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 58904 and 58914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58904 and 58914, than apply into the LCM equation.

GCF(58904,58914) = 2
LCM(58904,58914) = ( 58904 × 58914) / 2
LCM(58904,58914) = 3470270256 / 2
LCM(58904,58914) = 1735135128

Least Common Multiple (LCM) of 58904 and 58914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58904 and 58914. First we will calculate the prime factors of 58904 and 58914.

Prime Factorization of 58904

Prime Factorization of 58914

Now multiplying the highest exponent prime factors to calculate the LCM of 58904 and 58914.

LCM(58904,58914) = 2³ × 37¹ × 199¹ × 3³ × 1091¹
LCM(58904,58914) = 1735135128