What is the Least Common Multiple of 35906 and 35916?

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 35906 and 35916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35906 and 35916, than apply into the LCM equation.

GCF(35906,35916) = 2
LCM(35906,35916) = ( 35906 × 35916) / 2
LCM(35906,35916) = 1289599896 / 2
LCM(35906,35916) = 644799948

Least Common Multiple (LCM) of 35906 and 35916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35906 and 35916. First we will calculate the prime factors of 35906 and 35916.

Prime Factorization of 35906

Prime Factorization of 35916

Now multiplying the highest exponent prime factors to calculate the LCM of 35906 and 35916.

LCM(35906,35916) = 2² × 13¹ × 1381¹ × 3¹ × 41¹ × 73¹
LCM(35906,35916) = 644799948