What is the Least Common Multiple of 35475 and 35484?

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 35475 and 35484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35475 and 35484, than apply into the LCM equation.

GCF(35475,35484) = 3
LCM(35475,35484) = ( 35475 × 35484) / 3
LCM(35475,35484) = 1258794900 / 3
LCM(35475,35484) = 419598300

Least Common Multiple (LCM) of 35475 and 35484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35475 and 35484. First we will calculate the prime factors of 35475 and 35484.

Prime Factorization of 35475

Prime Factorization of 35484

Now multiplying the highest exponent prime factors to calculate the LCM of 35475 and 35484.

LCM(35475,35484) = 3¹ × 5² × 11¹ × 43¹ × 2² × 2957¹
LCM(35475,35484) = 419598300