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What is the Least Common Multiple of 80281 and 80295?

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 80281 and 80295 is 6446162895.

LCM(80281,80295) = 6446162895

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Least Common Multiple of 80281 and 80295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80281 and 80295, than apply into the LCM equation.

GCF(80281,80295) = 1
LCM(80281,80295) = ( 80281 × 80295) / 1
LCM(80281,80295) = 6446162895 / 1
LCM(80281,80295) = 6446162895

Least Common Multiple (LCM) of 80281 and 80295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80281 and 80295. First we will calculate the prime factors of 80281 and 80295.

Prime Factorization of 80281

Prime factors of 80281 are 43, 1867. Prime factorization of 80281 in exponential form is:

80281 = 431 × 18671

Prime Factorization of 80295

Prime factors of 80295 are 3, 5, 53, 101. Prime factorization of 80295 in exponential form is:

80295 = 31 × 51 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 80281 and 80295.

LCM(80281,80295) = 431 × 18671 × 31 × 51 × 531 × 1011
LCM(80281,80295) = 6446162895