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What is the Least Common Multiple of 80095 and 80111?

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 80095 and 80111 is 6416490545.

LCM(80095,80111) = 6416490545

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Least Common Multiple of 80095 and 80111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80095 and 80111, than apply into the LCM equation.

GCF(80095,80111) = 1
LCM(80095,80111) = ( 80095 × 80111) / 1
LCM(80095,80111) = 6416490545 / 1
LCM(80095,80111) = 6416490545

Least Common Multiple (LCM) of 80095 and 80111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80095 and 80111. First we will calculate the prime factors of 80095 and 80111.

Prime Factorization of 80095

Prime factors of 80095 are 5, 83, 193. Prime factorization of 80095 in exponential form is:

80095 = 51 × 831 × 1931

Prime Factorization of 80111

Prime factors of 80111 are 80111. Prime factorization of 80111 in exponential form is:

80111 = 801111

Now multiplying the highest exponent prime factors to calculate the LCM of 80095 and 80111.

LCM(80095,80111) = 51 × 831 × 1931 × 801111
LCM(80095,80111) = 6416490545