GCF and LCM Calculator Logo

What is the Least Common Multiple of 93403 and 93421?

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 93403 and 93421 is 8725801663.

LCM(93403,93421) = 8725801663

LCM Calculator and
and

Least Common Multiple of 93403 and 93421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93403 and 93421, than apply into the LCM equation.

GCF(93403,93421) = 1
LCM(93403,93421) = ( 93403 × 93421) / 1
LCM(93403,93421) = 8725801663 / 1
LCM(93403,93421) = 8725801663

Least Common Multiple (LCM) of 93403 and 93421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93403 and 93421. First we will calculate the prime factors of 93403 and 93421.

Prime Factorization of 93403

Prime factors of 93403 are 23, 31, 131. Prime factorization of 93403 in exponential form is:

93403 = 231 × 311 × 1311

Prime Factorization of 93421

Prime factors of 93421 are 103, 907. Prime factorization of 93421 in exponential form is:

93421 = 1031 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 93403 and 93421.

LCM(93403,93421) = 231 × 311 × 1311 × 1031 × 9071
LCM(93403,93421) = 8725801663