What is the Least Common Multiple of 35440 and 35452?

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 35452 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 35452, than apply into the LCM equation.

GCF(35440,35452) = 4
LCM(35440,35452) = ( 35440 × 35452) / 4
LCM(35440,35452) = 1256418880 / 4
LCM(35440,35452) = 314104720

Least Common Multiple (LCM) of 35440 and 35452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35440 and 35452. First we will calculate the prime factors of 35440 and 35452.

Prime Factorization of 35440

Prime Factorization of 35452

Now multiplying the highest exponent prime factors to calculate the LCM of 35440 and 35452.

LCM(35440,35452) = 2⁴ × 5¹ × 443¹ × 8863¹
LCM(35440,35452) = 314104720