What is the Least Common Multiple of 35064 and 35073?

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 35073 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 35073, than apply into the LCM equation.

GCF(35064,35073) = 9
LCM(35064,35073) = ( 35064 × 35073) / 9
LCM(35064,35073) = 1229799672 / 9
LCM(35064,35073) = 136644408

Least Common Multiple (LCM) of 35064 and 35073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35064 and 35073. First we will calculate the prime factors of 35064 and 35073.

Prime Factorization of 35064

Prime Factorization of 35073

Now multiplying the highest exponent prime factors to calculate the LCM of 35064 and 35073.

LCM(35064,35073) = 2³ × 3⁴ × 487¹ × 433¹
LCM(35064,35073) = 136644408