What is the Least Common Multiple of 35428 and 35437?

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 35428 and 35437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35428 and 35437, than apply into the LCM equation.

GCF(35428,35437) = 1
LCM(35428,35437) = ( 35428 × 35437) / 1
LCM(35428,35437) = 1255462036 / 1
LCM(35428,35437) = 1255462036

Least Common Multiple (LCM) of 35428 and 35437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35428 and 35437. First we will calculate the prime factors of 35428 and 35437.

Prime Factorization of 35428

Prime Factorization of 35437

Now multiplying the highest exponent prime factors to calculate the LCM of 35428 and 35437.

LCM(35428,35437) = 2² × 17¹ × 521¹ × 35437¹
LCM(35428,35437) = 1255462036