What is the Least Common Multiple of 35900 and 35914?

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 35900 and 35914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35900 and 35914, than apply into the LCM equation.

GCF(35900,35914) = 2
LCM(35900,35914) = ( 35900 × 35914) / 2
LCM(35900,35914) = 1289312600 / 2
LCM(35900,35914) = 644656300

Least Common Multiple (LCM) of 35900 and 35914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35900 and 35914. First we will calculate the prime factors of 35900 and 35914.

Prime Factorization of 35900

Prime Factorization of 35914

Now multiplying the highest exponent prime factors to calculate the LCM of 35900 and 35914.

LCM(35900,35914) = 2² × 5² × 359¹ × 17957¹
LCM(35900,35914) = 644656300