What is the Least Common Multiple of 35254 and 35260?

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 35254 and 35260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35254 and 35260, than apply into the LCM equation.

GCF(35254,35260) = 2
LCM(35254,35260) = ( 35254 × 35260) / 2
LCM(35254,35260) = 1243056040 / 2
LCM(35254,35260) = 621528020

Least Common Multiple (LCM) of 35254 and 35260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35254 and 35260. First we will calculate the prime factors of 35254 and 35260.

Prime Factorization of 35254

Prime Factorization of 35260

Now multiplying the highest exponent prime factors to calculate the LCM of 35254 and 35260.

LCM(35254,35260) = 2² × 17627¹ × 5¹ × 41¹ × 43¹
LCM(35254,35260) = 621528020