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What is the Least Common Multiple of 80839 and 80843?

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 80839 and 80843 is 6535267277.

LCM(80839,80843) = 6535267277

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Least Common Multiple of 80839 and 80843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80839 and 80843, than apply into the LCM equation.

GCF(80839,80843) = 1
LCM(80839,80843) = ( 80839 × 80843) / 1
LCM(80839,80843) = 6535267277 / 1
LCM(80839,80843) = 6535267277

Least Common Multiple (LCM) of 80839 and 80843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80839 and 80843. First we will calculate the prime factors of 80839 and 80843.

Prime Factorization of 80839

Prime factors of 80839 are 11, 7349. Prime factorization of 80839 in exponential form is:

80839 = 111 × 73491

Prime Factorization of 80843

Prime factors of 80843 are 7, 11549. Prime factorization of 80843 in exponential form is:

80843 = 71 × 115491

Now multiplying the highest exponent prime factors to calculate the LCM of 80839 and 80843.

LCM(80839,80843) = 111 × 73491 × 71 × 115491
LCM(80839,80843) = 6535267277