GCF and LCM Calculator Logo

What is the Least Common Multiple of 29416 and 29432?

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 29416 and 29432 is 108221464.

LCM(29416,29432) = 108221464

LCM Calculator and
and

Least Common Multiple of 29416 and 29432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29416 and 29432, than apply into the LCM equation.

GCF(29416,29432) = 8
LCM(29416,29432) = ( 29416 × 29432) / 8
LCM(29416,29432) = 865771712 / 8
LCM(29416,29432) = 108221464

Least Common Multiple (LCM) of 29416 and 29432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29416 and 29432. First we will calculate the prime factors of 29416 and 29432.

Prime Factorization of 29416

Prime factors of 29416 are 2, 3677. Prime factorization of 29416 in exponential form is:

29416 = 23 × 36771

Prime Factorization of 29432

Prime factors of 29432 are 2, 13, 283. Prime factorization of 29432 in exponential form is:

29432 = 23 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 29416 and 29432.

LCM(29416,29432) = 23 × 36771 × 131 × 2831
LCM(29416,29432) = 108221464