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What is the Least Common Multiple of 80531 and 80539?

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 80531 and 80539 is 6485886209.

LCM(80531,80539) = 6485886209

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Least Common Multiple of 80531 and 80539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80531 and 80539, than apply into the LCM equation.

GCF(80531,80539) = 1
LCM(80531,80539) = ( 80531 × 80539) / 1
LCM(80531,80539) = 6485886209 / 1
LCM(80531,80539) = 6485886209

Least Common Multiple (LCM) of 80531 and 80539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80531 and 80539. First we will calculate the prime factors of 80531 and 80539.

Prime Factorization of 80531

Prime factors of 80531 are 11, 7321. Prime factorization of 80531 in exponential form is:

80531 = 111 × 73211

Prime Factorization of 80539

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

80539 = 431 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 80531 and 80539.

LCM(80531,80539) = 111 × 73211 × 431 × 18731
LCM(80531,80539) = 6485886209