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What is the Least Common Multiple of 42323 and 42331?

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 42323 and 42331 is 1791574913.

LCM(42323,42331) = 1791574913

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Least Common Multiple of 42323 and 42331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42323 and 42331, than apply into the LCM equation.

GCF(42323,42331) = 1
LCM(42323,42331) = ( 42323 × 42331) / 1
LCM(42323,42331) = 1791574913 / 1
LCM(42323,42331) = 1791574913

Least Common Multiple (LCM) of 42323 and 42331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42323 and 42331. First we will calculate the prime factors of 42323 and 42331.

Prime Factorization of 42323

Prime factors of 42323 are 42323. Prime factorization of 42323 in exponential form is:

42323 = 423231

Prime Factorization of 42331

Prime factors of 42331 are 42331. Prime factorization of 42331 in exponential form is:

42331 = 423311

Now multiplying the highest exponent prime factors to calculate the LCM of 42323 and 42331.

LCM(42323,42331) = 423231 × 423311
LCM(42323,42331) = 1791574913