GCF and LCM Calculator Logo

What is the Least Common Multiple of 40323 and 40343?

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 40323 and 40343 is 1626750789.

LCM(40323,40343) = 1626750789

LCM Calculator and
and

Least Common Multiple of 40323 and 40343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40323 and 40343, than apply into the LCM equation.

GCF(40323,40343) = 1
LCM(40323,40343) = ( 40323 × 40343) / 1
LCM(40323,40343) = 1626750789 / 1
LCM(40323,40343) = 1626750789

Least Common Multiple (LCM) of 40323 and 40343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40323 and 40343. First we will calculate the prime factors of 40323 and 40343.

Prime Factorization of 40323

Prime factors of 40323 are 3, 13441. Prime factorization of 40323 in exponential form is:

40323 = 31 × 134411

Prime Factorization of 40343

Prime factors of 40343 are 40343. Prime factorization of 40343 in exponential form is:

40343 = 403431

Now multiplying the highest exponent prime factors to calculate the LCM of 40323 and 40343.

LCM(40323,40343) = 31 × 134411 × 403431
LCM(40323,40343) = 1626750789