What is the Least Common Multiple of 58900 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 58900 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 58900 and 58914, than apply into the LCM equation.

GCF(58900,58914) = 2
LCM(58900,58914) = ( 58900 × 58914) / 2
LCM(58900,58914) = 3470034600 / 2
LCM(58900,58914) = 1735017300

Least Common Multiple (LCM) of 58900 and 58914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58900 and 58914. First we will calculate the prime factors of 58900 and 58914.

Prime Factorization of 58900

Prime Factorization of 58914

Now multiplying the highest exponent prime factors to calculate the LCM of 58900 and 58914.

LCM(58900,58914) = 2² × 5² × 19¹ × 31¹ × 3³ × 1091¹
LCM(58900,58914) = 1735017300