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What is the Least Common Multiple of 71818 and 71833?

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 71818 and 71833 is 5158902394.

LCM(71818,71833) = 5158902394

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Least Common Multiple of 71818 and 71833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71818 and 71833, than apply into the LCM equation.

GCF(71818,71833) = 1
LCM(71818,71833) = ( 71818 × 71833) / 1
LCM(71818,71833) = 5158902394 / 1
LCM(71818,71833) = 5158902394

Least Common Multiple (LCM) of 71818 and 71833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71818 and 71833. First we will calculate the prime factors of 71818 and 71833.

Prime Factorization of 71818

Prime factors of 71818 are 2, 149, 241. Prime factorization of 71818 in exponential form is:

71818 = 21 × 1491 × 2411

Prime Factorization of 71833

Prime factors of 71833 are 29, 2477. Prime factorization of 71833 in exponential form is:

71833 = 291 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 71818 and 71833.

LCM(71818,71833) = 21 × 1491 × 2411 × 291 × 24771
LCM(71818,71833) = 5158902394