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What is the Least Common Multiple of 22031 and 22042?

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 22042 is 485607302.

LCM(22031,22042) = 485607302

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Least Common Multiple of 22031 and 22042 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 22042, than apply into the LCM equation.

GCF(22031,22042) = 1
LCM(22031,22042) = ( 22031 × 22042) / 1
LCM(22031,22042) = 485607302 / 1
LCM(22031,22042) = 485607302

Least Common Multiple (LCM) of 22031 and 22042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22031 and 22042. First we will calculate the prime factors of 22031 and 22042.

Prime Factorization of 22031

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

22031 = 220311

Prime Factorization of 22042

Prime factors of 22042 are 2, 103, 107. Prime factorization of 22042 in exponential form is:

22042 = 21 × 1031 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 22031 and 22042.

LCM(22031,22042) = 220311 × 21 × 1031 × 1071
LCM(22031,22042) = 485607302