What is the Least Common Multiple of 17064 and 17072?

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 17064 and 17072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17064 and 17072, than apply into the LCM equation.

GCF(17064,17072) = 8
LCM(17064,17072) = ( 17064 × 17072) / 8
LCM(17064,17072) = 291316608 / 8
LCM(17064,17072) = 36414576

Least Common Multiple (LCM) of 17064 and 17072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17064 and 17072. First we will calculate the prime factors of 17064 and 17072.

Prime Factorization of 17064

Prime Factorization of 17072

Now multiplying the highest exponent prime factors to calculate the LCM of 17064 and 17072.

LCM(17064,17072) = 2⁴ × 3³ × 79¹ × 11¹ × 97¹
LCM(17064,17072) = 36414576