What is the Least Common Multiple of 35896 and 35910?

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 35896 and 35910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35896 and 35910, than apply into the LCM equation.

GCF(35896,35910) = 14
LCM(35896,35910) = ( 35896 × 35910) / 14
LCM(35896,35910) = 1289025360 / 14
LCM(35896,35910) = 92073240

Least Common Multiple (LCM) of 35896 and 35910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35896 and 35910. First we will calculate the prime factors of 35896 and 35910.

Prime Factorization of 35896

Prime Factorization of 35910

Now multiplying the highest exponent prime factors to calculate the LCM of 35896 and 35910.

LCM(35896,35910) = 2³ × 7¹ × 641¹ × 3³ × 5¹ × 19¹
LCM(35896,35910) = 92073240