What is the Least Common Multiple of 35048 and 35066?

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 35048 and 35066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35048 and 35066, than apply into the LCM equation.

GCF(35048,35066) = 2
LCM(35048,35066) = ( 35048 × 35066) / 2
LCM(35048,35066) = 1228993168 / 2
LCM(35048,35066) = 614496584

Least Common Multiple (LCM) of 35048 and 35066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35048 and 35066. First we will calculate the prime factors of 35048 and 35066.

Prime Factorization of 35048

Prime Factorization of 35066

Now multiplying the highest exponent prime factors to calculate the LCM of 35048 and 35066.

LCM(35048,35066) = 2³ × 13¹ × 337¹ × 89¹ × 197¹
LCM(35048,35066) = 614496584