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What is the Least Common Multiple of 18802 and 18808?

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 18802 and 18808 is 176814008.

LCM(18802,18808) = 176814008

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Least Common Multiple of 18802 and 18808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18802 and 18808, than apply into the LCM equation.

GCF(18802,18808) = 2
LCM(18802,18808) = ( 18802 × 18808) / 2
LCM(18802,18808) = 353628016 / 2
LCM(18802,18808) = 176814008

Least Common Multiple (LCM) of 18802 and 18808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18802 and 18808. First we will calculate the prime factors of 18802 and 18808.

Prime Factorization of 18802

Prime factors of 18802 are 2, 7, 17, 79. Prime factorization of 18802 in exponential form is:

18802 = 21 × 71 × 171 × 791

Prime Factorization of 18808

Prime factors of 18808 are 2, 2351. Prime factorization of 18808 in exponential form is:

18808 = 23 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 18802 and 18808.

LCM(18802,18808) = 23 × 71 × 171 × 791 × 23511
LCM(18802,18808) = 176814008