What is the Least Common Multiple of 35936 and 35954?

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 35936 and 35954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35936 and 35954, than apply into the LCM equation.

GCF(35936,35954) = 2
LCM(35936,35954) = ( 35936 × 35954) / 2
LCM(35936,35954) = 1292042944 / 2
LCM(35936,35954) = 646021472

Least Common Multiple (LCM) of 35936 and 35954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35936 and 35954. First we will calculate the prime factors of 35936 and 35954.

Prime Factorization of 35936

Prime Factorization of 35954

Now multiplying the highest exponent prime factors to calculate the LCM of 35936 and 35954.

LCM(35936,35954) = 2⁵ × 1123¹ × 17977¹
LCM(35936,35954) = 646021472