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What is the Least Common Multiple of 80877 and 80882?

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 80877 and 80882 is 6541493514.

LCM(80877,80882) = 6541493514

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Least Common Multiple of 80877 and 80882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80877 and 80882, than apply into the LCM equation.

GCF(80877,80882) = 1
LCM(80877,80882) = ( 80877 × 80882) / 1
LCM(80877,80882) = 6541493514 / 1
LCM(80877,80882) = 6541493514

Least Common Multiple (LCM) of 80877 and 80882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80877 and 80882. First we will calculate the prime factors of 80877 and 80882.

Prime Factorization of 80877

Prime factors of 80877 are 3, 26959. Prime factorization of 80877 in exponential form is:

80877 = 31 × 269591

Prime Factorization of 80882

Prime factors of 80882 are 2, 37, 1093. Prime factorization of 80882 in exponential form is:

80882 = 21 × 371 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 80877 and 80882.

LCM(80877,80882) = 31 × 269591 × 21 × 371 × 10931
LCM(80877,80882) = 6541493514