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What is the Least Common Multiple of 40831 and 40847?

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 40831 and 40847 is 1667823857.

LCM(40831,40847) = 1667823857

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Least Common Multiple of 40831 and 40847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40831 and 40847, than apply into the LCM equation.

GCF(40831,40847) = 1
LCM(40831,40847) = ( 40831 × 40847) / 1
LCM(40831,40847) = 1667823857 / 1
LCM(40831,40847) = 1667823857

Least Common Multiple (LCM) of 40831 and 40847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40831 and 40847. First we will calculate the prime factors of 40831 and 40847.

Prime Factorization of 40831

Prime factors of 40831 are 7, 19, 307. Prime factorization of 40831 in exponential form is:

40831 = 71 × 191 × 3071

Prime Factorization of 40847

Prime factors of 40847 are 40847. Prime factorization of 40847 in exponential form is:

40847 = 408471

Now multiplying the highest exponent prime factors to calculate the LCM of 40831 and 40847.

LCM(40831,40847) = 71 × 191 × 3071 × 408471
LCM(40831,40847) = 1667823857