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What is the Least Common Multiple of 80595 and 80602?

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 80595 and 80602 is 6496118190.

LCM(80595,80602) = 6496118190

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Least Common Multiple of 80595 and 80602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80595 and 80602, than apply into the LCM equation.

GCF(80595,80602) = 1
LCM(80595,80602) = ( 80595 × 80602) / 1
LCM(80595,80602) = 6496118190 / 1
LCM(80595,80602) = 6496118190

Least Common Multiple (LCM) of 80595 and 80602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80595 and 80602. First we will calculate the prime factors of 80595 and 80602.

Prime Factorization of 80595

Prime factors of 80595 are 3, 5, 199. Prime factorization of 80595 in exponential form is:

80595 = 34 × 51 × 1991

Prime Factorization of 80602

Prime factors of 80602 are 2, 191, 211. Prime factorization of 80602 in exponential form is:

80602 = 21 × 1911 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 80595 and 80602.

LCM(80595,80602) = 34 × 51 × 1991 × 21 × 1911 × 2111
LCM(80595,80602) = 6496118190