What is the Least Common Multiple of 35884 and 35896?

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 35884 and 35896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35884 and 35896, than apply into the LCM equation.

GCF(35884,35896) = 4
LCM(35884,35896) = ( 35884 × 35896) / 4
LCM(35884,35896) = 1288092064 / 4
LCM(35884,35896) = 322023016

Least Common Multiple (LCM) of 35884 and 35896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35884 and 35896. First we will calculate the prime factors of 35884 and 35896.

Prime Factorization of 35884

Prime Factorization of 35896

Now multiplying the highest exponent prime factors to calculate the LCM of 35884 and 35896.

LCM(35884,35896) = 2³ × 8971¹ × 7¹ × 641¹
LCM(35884,35896) = 322023016