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What is the Least Common Multiple of 81587 and 81602?

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 81587 and 81602 is 6657662374.

LCM(81587,81602) = 6657662374

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Least Common Multiple of 81587 and 81602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81587 and 81602, than apply into the LCM equation.

GCF(81587,81602) = 1
LCM(81587,81602) = ( 81587 × 81602) / 1
LCM(81587,81602) = 6657662374 / 1
LCM(81587,81602) = 6657662374

Least Common Multiple (LCM) of 81587 and 81602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81587 and 81602. First we will calculate the prime factors of 81587 and 81602.

Prime Factorization of 81587

Prime factors of 81587 are 11, 7417. Prime factorization of 81587 in exponential form is:

81587 = 111 × 74171

Prime Factorization of 81602

Prime factors of 81602 are 2, 40801. Prime factorization of 81602 in exponential form is:

81602 = 21 × 408011

Now multiplying the highest exponent prime factors to calculate the LCM of 81587 and 81602.

LCM(81587,81602) = 111 × 74171 × 21 × 408011
LCM(81587,81602) = 6657662374