What is the Least Common Multiple of 35896 and 35900?

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 35900 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 35900, than apply into the LCM equation.

GCF(35896,35900) = 4
LCM(35896,35900) = ( 35896 × 35900) / 4
LCM(35896,35900) = 1288666400 / 4
LCM(35896,35900) = 322166600

Least Common Multiple (LCM) of 35896 and 35900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35896 and 35900. First we will calculate the prime factors of 35896 and 35900.

Prime Factorization of 35896

Prime Factorization of 35900

Now multiplying the highest exponent prime factors to calculate the LCM of 35896 and 35900.

LCM(35896,35900) = 2³ × 7¹ × 641¹ × 5² × 359¹
LCM(35896,35900) = 322166600