What is the Least Common Multiple of 35440 and 35450?

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 35450 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 35450, than apply into the LCM equation.

GCF(35440,35450) = 10
LCM(35440,35450) = ( 35440 × 35450) / 10
LCM(35440,35450) = 1256348000 / 10
LCM(35440,35450) = 125634800

Least Common Multiple (LCM) of 35440 and 35450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35440 and 35450. First we will calculate the prime factors of 35440 and 35450.

Prime Factorization of 35440

Prime Factorization of 35450

Now multiplying the highest exponent prime factors to calculate the LCM of 35440 and 35450.

LCM(35440,35450) = 2⁴ × 5² × 443¹ × 709¹
LCM(35440,35450) = 125634800