What is the Least Common Multiple of 35902 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 35902 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 35902 and 35916, than apply into the LCM equation.

GCF(35902,35916) = 2
LCM(35902,35916) = ( 35902 × 35916) / 2
LCM(35902,35916) = 1289456232 / 2
LCM(35902,35916) = 644728116

Least Common Multiple (LCM) of 35902 and 35916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35902 and 35916. First we will calculate the prime factors of 35902 and 35916.

Prime Factorization of 35902

Prime Factorization of 35916

Now multiplying the highest exponent prime factors to calculate the LCM of 35902 and 35916.

LCM(35902,35916) = 2² × 29¹ × 619¹ × 3¹ × 41¹ × 73¹
LCM(35902,35916) = 644728116