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What is the Least Common Multiple of 71818 and 71826?

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 71826 is 2579199834.

LCM(71818,71826) = 2579199834

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Least Common Multiple of 71818 and 71826 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 71826, than apply into the LCM equation.

GCF(71818,71826) = 2
LCM(71818,71826) = ( 71818 × 71826) / 2
LCM(71818,71826) = 5158399668 / 2
LCM(71818,71826) = 2579199834

Least Common Multiple (LCM) of 71818 and 71826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71818 and 71826. First we will calculate the prime factors of 71818 and 71826.

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 71826

Prime factors of 71826 are 2, 3, 11971. Prime factorization of 71826 in exponential form is:

71826 = 21 × 31 × 119711

Now multiplying the highest exponent prime factors to calculate the LCM of 71818 and 71826.

LCM(71818,71826) = 21 × 1491 × 2411 × 31 × 119711
LCM(71818,71826) = 2579199834