What is the Least Common Multiple of 35055 and 35064?

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 35055 and 35064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35055 and 35064, than apply into the LCM equation.

GCF(35055,35064) = 9
LCM(35055,35064) = ( 35055 × 35064) / 9
LCM(35055,35064) = 1229168520 / 9
LCM(35055,35064) = 136574280

Least Common Multiple (LCM) of 35055 and 35064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35055 and 35064. First we will calculate the prime factors of 35055 and 35064.

Prime Factorization of 35055

Prime Factorization of 35064

Now multiplying the highest exponent prime factors to calculate the LCM of 35055 and 35064.

LCM(35055,35064) = 3² × 5¹ × 19¹ × 41¹ × 2³ × 487¹
LCM(35055,35064) = 136574280