What is the Least Common Multiple of 35936 and 35953?

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 35953 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 35953, than apply into the LCM equation.

GCF(35936,35953) = 1
LCM(35936,35953) = ( 35936 × 35953) / 1
LCM(35936,35953) = 1292007008 / 1
LCM(35936,35953) = 1292007008

Least Common Multiple (LCM) of 35936 and 35953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35936 and 35953. First we will calculate the prime factors of 35936 and 35953.

Prime Factorization of 35936

Prime Factorization of 35953

Now multiplying the highest exponent prime factors to calculate the LCM of 35936 and 35953.

LCM(35936,35953) = 2⁵ × 1123¹ × 157¹ × 229¹
LCM(35936,35953) = 1292007008