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What is the Least Common Multiple of 43831 and 43835?

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 43831 and 43835 is 1921331885.

LCM(43831,43835) = 1921331885

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Least Common Multiple of 43831 and 43835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43831 and 43835, than apply into the LCM equation.

GCF(43831,43835) = 1
LCM(43831,43835) = ( 43831 × 43835) / 1
LCM(43831,43835) = 1921331885 / 1
LCM(43831,43835) = 1921331885

Least Common Multiple (LCM) of 43831 and 43835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43831 and 43835. First we will calculate the prime factors of 43831 and 43835.

Prime Factorization of 43831

Prime factors of 43831 are 53, 827. Prime factorization of 43831 in exponential form is:

43831 = 531 × 8271

Prime Factorization of 43835

Prime factors of 43835 are 5, 11, 797. Prime factorization of 43835 in exponential form is:

43835 = 51 × 111 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 43831 and 43835.

LCM(43831,43835) = 531 × 8271 × 51 × 111 × 7971
LCM(43831,43835) = 1921331885