What is the Least Common Multiple of 35424 and 35440?

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 35424 and 35440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35424 and 35440, than apply into the LCM equation.

GCF(35424,35440) = 16
LCM(35424,35440) = ( 35424 × 35440) / 16
LCM(35424,35440) = 1255426560 / 16
LCM(35424,35440) = 78464160

Least Common Multiple (LCM) of 35424 and 35440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35424 and 35440. First we will calculate the prime factors of 35424 and 35440.

Prime Factorization of 35424

Prime Factorization of 35440

Now multiplying the highest exponent prime factors to calculate the LCM of 35424 and 35440.

LCM(35424,35440) = 2⁵ × 3³ × 41¹ × 5¹ × 443¹
LCM(35424,35440) = 78464160