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What is the Least Common Multiple of 43703 and 43723?

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 43703 and 43723 is 1910826269.

LCM(43703,43723) = 1910826269

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Least Common Multiple of 43703 and 43723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43703 and 43723, than apply into the LCM equation.

GCF(43703,43723) = 1
LCM(43703,43723) = ( 43703 × 43723) / 1
LCM(43703,43723) = 1910826269 / 1
LCM(43703,43723) = 1910826269

Least Common Multiple (LCM) of 43703 and 43723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43703 and 43723. First we will calculate the prime factors of 43703 and 43723.

Prime Factorization of 43703

Prime factors of 43703 are 11, 29, 137. Prime factorization of 43703 in exponential form is:

43703 = 111 × 291 × 1371

Prime Factorization of 43723

Prime factors of 43723 are 23, 1901. Prime factorization of 43723 in exponential form is:

43723 = 231 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 43703 and 43723.

LCM(43703,43723) = 111 × 291 × 1371 × 231 × 19011
LCM(43703,43723) = 1910826269