GCF and LCM Calculator Logo

What is the Least Common Multiple of 29433 and 29438?

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 29433 and 29438 is 866448654.

LCM(29433,29438) = 866448654

LCM Calculator and
and

Least Common Multiple of 29433 and 29438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29433 and 29438, than apply into the LCM equation.

GCF(29433,29438) = 1
LCM(29433,29438) = ( 29433 × 29438) / 1
LCM(29433,29438) = 866448654 / 1
LCM(29433,29438) = 866448654

Least Common Multiple (LCM) of 29433 and 29438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29433 and 29438. First we will calculate the prime factors of 29433 and 29438.

Prime Factorization of 29433

Prime factors of 29433 are 3, 9811. Prime factorization of 29433 in exponential form is:

29433 = 31 × 98111

Prime Factorization of 29438

Prime factors of 29438 are 2, 41, 359. Prime factorization of 29438 in exponential form is:

29438 = 21 × 411 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 29433 and 29438.

LCM(29433,29438) = 31 × 98111 × 21 × 411 × 3591
LCM(29433,29438) = 866448654