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What is the Least Common Multiple of 81626 and 81637?

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 81626 and 81637 is 6663701762.

LCM(81626,81637) = 6663701762

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Least Common Multiple of 81626 and 81637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81626 and 81637, than apply into the LCM equation.

GCF(81626,81637) = 1
LCM(81626,81637) = ( 81626 × 81637) / 1
LCM(81626,81637) = 6663701762 / 1
LCM(81626,81637) = 6663701762

Least Common Multiple (LCM) of 81626 and 81637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81626 and 81637. First we will calculate the prime factors of 81626 and 81637.

Prime Factorization of 81626

Prime factors of 81626 are 2, 40813. Prime factorization of 81626 in exponential form is:

81626 = 21 × 408131

Prime Factorization of 81637

Prime factors of 81637 are 81637. Prime factorization of 81637 in exponential form is:

81637 = 816371

Now multiplying the highest exponent prime factors to calculate the LCM of 81626 and 81637.

LCM(81626,81637) = 21 × 408131 × 816371
LCM(81626,81637) = 6663701762