What is the Least Common Multiple of 35064 and 35072?

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 35072 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 35072, than apply into the LCM equation.

GCF(35064,35072) = 8
LCM(35064,35072) = ( 35064 × 35072) / 8
LCM(35064,35072) = 1229764608 / 8
LCM(35064,35072) = 153720576

Least Common Multiple (LCM) of 35064 and 35072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35064 and 35072. First we will calculate the prime factors of 35064 and 35072.

Prime Factorization of 35064

Prime Factorization of 35072

Now multiplying the highest exponent prime factors to calculate the LCM of 35064 and 35072.

LCM(35064,35072) = 2⁸ × 3² × 487¹ × 137¹
LCM(35064,35072) = 153720576