GCF and LCM Calculator Logo

What is the Least Common Multiple of 29647 and 29664?

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 (LCM) of 29647 and 29664 is 879448608.

LCM(29647,29664) = 879448608

LCM Calculator and
and

Least Common Multiple of 29647 and 29664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29647 and 29664, than apply into the LCM equation.

GCF(29647,29664) = 1
LCM(29647,29664) = ( 29647 × 29664) / 1
LCM(29647,29664) = 879448608 / 1
LCM(29647,29664) = 879448608

Least Common Multiple (LCM) of 29647 and 29664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29647 and 29664. First we will calculate the prime factors of 29647 and 29664.

Prime Factorization of 29647

Prime factors of 29647 are 23, 1289. Prime factorization of 29647 in exponential form is:

29647 = 231 × 12891

Prime Factorization of 29664

Prime factors of 29664 are 2, 3, 103. Prime factorization of 29664 in exponential form is:

29664 = 25 × 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 29647 and 29664.

LCM(29647,29664) = 231 × 12891 × 25 × 32 × 1031
LCM(29647,29664) = 879448608