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What is the Least Common Multiple of 80087 and 80097?

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 80087 and 80097 is 6414728439.

LCM(80087,80097) = 6414728439

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Least Common Multiple of 80087 and 80097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80087 and 80097, than apply into the LCM equation.

GCF(80087,80097) = 1
LCM(80087,80097) = ( 80087 × 80097) / 1
LCM(80087,80097) = 6414728439 / 1
LCM(80087,80097) = 6414728439

Least Common Multiple (LCM) of 80087 and 80097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80087 and 80097. First we will calculate the prime factors of 80087 and 80097.

Prime Factorization of 80087

Prime factors of 80087 are 7, 17, 673. Prime factorization of 80087 in exponential form is:

80087 = 71 × 171 × 6731

Prime Factorization of 80097

Prime factors of 80097 are 3, 26699. Prime factorization of 80097 in exponential form is:

80097 = 31 × 266991

Now multiplying the highest exponent prime factors to calculate the LCM of 80087 and 80097.

LCM(80087,80097) = 71 × 171 × 6731 × 31 × 266991
LCM(80087,80097) = 6414728439