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What is the Least Common Multiple of 42331 and 42350?

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 42331 and 42350 is 1792717850.

LCM(42331,42350) = 1792717850

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Least Common Multiple of 42331 and 42350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42331 and 42350, than apply into the LCM equation.

GCF(42331,42350) = 1
LCM(42331,42350) = ( 42331 × 42350) / 1
LCM(42331,42350) = 1792717850 / 1
LCM(42331,42350) = 1792717850

Least Common Multiple (LCM) of 42331 and 42350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42331 and 42350. First we will calculate the prime factors of 42331 and 42350.

Prime Factorization of 42331

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

42331 = 423311

Prime Factorization of 42350

Prime factors of 42350 are 2, 5, 7, 11. Prime factorization of 42350 in exponential form is:

42350 = 21 × 52 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 42331 and 42350.

LCM(42331,42350) = 423311 × 21 × 52 × 71 × 112
LCM(42331,42350) = 1792717850