What is the Least Common Multiple of 35469 and 35475?

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 35469 and 35475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35469 and 35475, than apply into the LCM equation.

GCF(35469,35475) = 3
LCM(35469,35475) = ( 35469 × 35475) / 3
LCM(35469,35475) = 1258262775 / 3
LCM(35469,35475) = 419420925

Least Common Multiple (LCM) of 35469 and 35475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35469 and 35475. First we will calculate the prime factors of 35469 and 35475.

Prime Factorization of 35469

Prime Factorization of 35475

Now multiplying the highest exponent prime factors to calculate the LCM of 35469 and 35475.

LCM(35469,35475) = 3² × 7¹ × 563¹ × 5² × 11¹ × 43¹
LCM(35469,35475) = 419420925