GCF and LCM Calculator Logo

What is the Least Common Multiple of 29812 and 29824?

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 29812 and 29824 is 222278272.

LCM(29812,29824) = 222278272

LCM Calculator and
and

Least Common Multiple of 29812 and 29824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29812 and 29824, than apply into the LCM equation.

GCF(29812,29824) = 4
LCM(29812,29824) = ( 29812 × 29824) / 4
LCM(29812,29824) = 889113088 / 4
LCM(29812,29824) = 222278272

Least Common Multiple (LCM) of 29812 and 29824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29812 and 29824. First we will calculate the prime factors of 29812 and 29824.

Prime Factorization of 29812

Prime factors of 29812 are 2, 29, 257. Prime factorization of 29812 in exponential form is:

29812 = 22 × 291 × 2571

Prime Factorization of 29824

Prime factors of 29824 are 2, 233. Prime factorization of 29824 in exponential form is:

29824 = 27 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 29812 and 29824.

LCM(29812,29824) = 27 × 291 × 2571 × 2331
LCM(29812,29824) = 222278272