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What is the Least Common Multiple of 19022 and 19042?

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 19022 and 19042 is 181108462.

LCM(19022,19042) = 181108462

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Least Common Multiple of 19022 and 19042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19022 and 19042, than apply into the LCM equation.

GCF(19022,19042) = 2
LCM(19022,19042) = ( 19022 × 19042) / 2
LCM(19022,19042) = 362216924 / 2
LCM(19022,19042) = 181108462

Least Common Multiple (LCM) of 19022 and 19042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19022 and 19042. First we will calculate the prime factors of 19022 and 19042.

Prime Factorization of 19022

Prime factors of 19022 are 2, 9511. Prime factorization of 19022 in exponential form is:

19022 = 21 × 95111

Prime Factorization of 19042

Prime factors of 19042 are 2, 9521. Prime factorization of 19042 in exponential form is:

19042 = 21 × 95211

Now multiplying the highest exponent prime factors to calculate the LCM of 19022 and 19042.

LCM(19022,19042) = 21 × 95111 × 95211
LCM(19022,19042) = 181108462