What is the Least Common Multiple of 35404 and 35424?

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 35404 and 35424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35404 and 35424, than apply into the LCM equation.

GCF(35404,35424) = 4
LCM(35404,35424) = ( 35404 × 35424) / 4
LCM(35404,35424) = 1254151296 / 4
LCM(35404,35424) = 313537824

Least Common Multiple (LCM) of 35404 and 35424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35404 and 35424. First we will calculate the prime factors of 35404 and 35424.

Prime Factorization of 35404

Prime Factorization of 35424

Now multiplying the highest exponent prime factors to calculate the LCM of 35404 and 35424.

LCM(35404,35424) = 2⁵ × 53¹ × 167¹ × 3³ × 41¹
LCM(35404,35424) = 313537824