What is the Least Common Multiple of 29064 and 29072?

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 29064 and 29072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29064 and 29072, than apply into the LCM equation.

GCF(29064,29072) = 8
LCM(29064,29072) = ( 29064 × 29072) / 8
LCM(29064,29072) = 844948608 / 8
LCM(29064,29072) = 105618576

Least Common Multiple (LCM) of 29064 and 29072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29064 and 29072. First we will calculate the prime factors of 29064 and 29072.

Prime Factorization of 29064

Prime Factorization of 29072

Now multiplying the highest exponent prime factors to calculate the LCM of 29064 and 29072.

LCM(29064,29072) = 2⁴ × 3¹ × 7¹ × 173¹ × 23¹ × 79¹
LCM(29064,29072) = 105618576