What is the Least Common Multiple of 35440 and 35445?

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 35440 and 35445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35440 and 35445, than apply into the LCM equation.

GCF(35440,35445) = 5
LCM(35440,35445) = ( 35440 × 35445) / 5
LCM(35440,35445) = 1256170800 / 5
LCM(35440,35445) = 251234160

Least Common Multiple (LCM) of 35440 and 35445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35440 and 35445. First we will calculate the prime factors of 35440 and 35445.

Prime Factorization of 35440

Prime Factorization of 35445

Now multiplying the highest exponent prime factors to calculate the LCM of 35440 and 35445.

LCM(35440,35445) = 2⁴ × 5¹ × 443¹ × 3¹ × 17¹ × 139¹
LCM(35440,35445) = 251234160