GCF and LCM Calculator Logo

What is the Least Common Multiple of 93429 and 93438?

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 93429 and 93438 is 969979878.

LCM(93429,93438) = 969979878

LCM Calculator and
and

Least Common Multiple of 93429 and 93438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93429 and 93438, than apply into the LCM equation.

GCF(93429,93438) = 9
LCM(93429,93438) = ( 93429 × 93438) / 9
LCM(93429,93438) = 8729818902 / 9
LCM(93429,93438) = 969979878

Least Common Multiple (LCM) of 93429 and 93438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93429 and 93438. First we will calculate the prime factors of 93429 and 93438.

Prime Factorization of 93429

Prime factors of 93429 are 3, 7, 1483. Prime factorization of 93429 in exponential form is:

93429 = 32 × 71 × 14831

Prime Factorization of 93438

Prime factors of 93438 are 2, 3, 29, 179. Prime factorization of 93438 in exponential form is:

93438 = 21 × 32 × 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 93429 and 93438.

LCM(93429,93438) = 32 × 71 × 14831 × 21 × 291 × 1791
LCM(93429,93438) = 969979878