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What is the Least Common Multiple of 80539 and 80555?

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 80539 and 80555 is 6487819145.

LCM(80539,80555) = 6487819145

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Least Common Multiple of 80539 and 80555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80539 and 80555, than apply into the LCM equation.

GCF(80539,80555) = 1
LCM(80539,80555) = ( 80539 × 80555) / 1
LCM(80539,80555) = 6487819145 / 1
LCM(80539,80555) = 6487819145

Least Common Multiple (LCM) of 80539 and 80555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80539 and 80555. First we will calculate the prime factors of 80539 and 80555.

Prime Factorization of 80539

Prime factors of 80539 are 43, 1873. Prime factorization of 80539 in exponential form is:

80539 = 431 × 18731

Prime Factorization of 80555

Prime factors of 80555 are 5, 16111. Prime factorization of 80555 in exponential form is:

80555 = 51 × 161111

Now multiplying the highest exponent prime factors to calculate the LCM of 80539 and 80555.

LCM(80539,80555) = 431 × 18731 × 51 × 161111
LCM(80539,80555) = 6487819145