What is the Least Common Multiple of 35064 and 35071?

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 35064 and 35071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35064 and 35071, than apply into the LCM equation.

GCF(35064,35071) = 1
LCM(35064,35071) = ( 35064 × 35071) / 1
LCM(35064,35071) = 1229729544 / 1
LCM(35064,35071) = 1229729544

Least Common Multiple (LCM) of 35064 and 35071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35064 and 35071. First we will calculate the prime factors of 35064 and 35071.

Prime Factorization of 35064

Prime Factorization of 35071

Now multiplying the highest exponent prime factors to calculate the LCM of 35064 and 35071.

LCM(35064,35071) = 2³ × 3² × 487¹ × 17¹ × 2063¹
LCM(35064,35071) = 1229729544