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What is the Least Common Multiple of 80067 and 80083?

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 80067 and 80083 is 6412005561.

LCM(80067,80083) = 6412005561

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Least Common Multiple of 80067 and 80083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80067 and 80083, than apply into the LCM equation.

GCF(80067,80083) = 1
LCM(80067,80083) = ( 80067 × 80083) / 1
LCM(80067,80083) = 6412005561 / 1
LCM(80067,80083) = 6412005561

Least Common Multiple (LCM) of 80067 and 80083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80067 and 80083. First we will calculate the prime factors of 80067 and 80083.

Prime Factorization of 80067

Prime factors of 80067 are 3, 13, 2053. Prime factorization of 80067 in exponential form is:

80067 = 31 × 131 × 20531

Prime Factorization of 80083

Prime factors of 80083 are 53, 1511. Prime factorization of 80083 in exponential form is:

80083 = 531 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 80067 and 80083.

LCM(80067,80083) = 31 × 131 × 20531 × 531 × 15111
LCM(80067,80083) = 6412005561