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What is the Least Common Multiple of 22031 and 22043?

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 22031 and 22043 is 485629333.

LCM(22031,22043) = 485629333

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Least Common Multiple of 22031 and 22043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22031 and 22043, than apply into the LCM equation.

GCF(22031,22043) = 1
LCM(22031,22043) = ( 22031 × 22043) / 1
LCM(22031,22043) = 485629333 / 1
LCM(22031,22043) = 485629333

Least Common Multiple (LCM) of 22031 and 22043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22031 and 22043. First we will calculate the prime factors of 22031 and 22043.

Prime Factorization of 22031

Prime factors of 22031 are 22031. Prime factorization of 22031 in exponential form is:

22031 = 220311

Prime Factorization of 22043

Prime factors of 22043 are 7, 47, 67. Prime factorization of 22043 in exponential form is:

22043 = 71 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 22031 and 22043.

LCM(22031,22043) = 220311 × 71 × 471 × 671
LCM(22031,22043) = 485629333