What is the Least Common Multiple of 35868 and 35872?

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 35868 and 35872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35868 and 35872, than apply into the LCM equation.

GCF(35868,35872) = 4
LCM(35868,35872) = ( 35868 × 35872) / 4
LCM(35868,35872) = 1286656896 / 4
LCM(35868,35872) = 321664224

Least Common Multiple (LCM) of 35868 and 35872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35868 and 35872. First we will calculate the prime factors of 35868 and 35872.

Prime Factorization of 35868

Prime Factorization of 35872

Now multiplying the highest exponent prime factors to calculate the LCM of 35868 and 35872.

LCM(35868,35872) = 2⁵ × 3¹ × 7² × 61¹ × 19¹ × 59¹
LCM(35868,35872) = 321664224