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What is the Least Common Multiple of 81483 and 81493?

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 81483 and 81493 is 6640294119.

LCM(81483,81493) = 6640294119

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Least Common Multiple of 81483 and 81493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81483 and 81493, than apply into the LCM equation.

GCF(81483,81493) = 1
LCM(81483,81493) = ( 81483 × 81493) / 1
LCM(81483,81493) = 6640294119 / 1
LCM(81483,81493) = 6640294119

Least Common Multiple (LCM) of 81483 and 81493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81483 and 81493. First we will calculate the prime factors of 81483 and 81493.

Prime Factorization of 81483

Prime factors of 81483 are 3, 157, 173. Prime factorization of 81483 in exponential form is:

81483 = 31 × 1571 × 1731

Prime Factorization of 81493

Prime factors of 81493 are 227, 359. Prime factorization of 81493 in exponential form is:

81493 = 2271 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 81483 and 81493.

LCM(81483,81493) = 31 × 1571 × 1731 × 2271 × 3591
LCM(81483,81493) = 6640294119