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What is the Least Common Multiple of 43708 and 43721?

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 43708 and 43721 is 1910957468.

LCM(43708,43721) = 1910957468

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Least Common Multiple of 43708 and 43721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43708 and 43721, than apply into the LCM equation.

GCF(43708,43721) = 1
LCM(43708,43721) = ( 43708 × 43721) / 1
LCM(43708,43721) = 1910957468 / 1
LCM(43708,43721) = 1910957468

Least Common Multiple (LCM) of 43708 and 43721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43708 and 43721. First we will calculate the prime factors of 43708 and 43721.

Prime Factorization of 43708

Prime factors of 43708 are 2, 7, 223. Prime factorization of 43708 in exponential form is:

43708 = 22 × 72 × 2231

Prime Factorization of 43721

Prime factors of 43721 are 43721. Prime factorization of 43721 in exponential form is:

43721 = 437211

Now multiplying the highest exponent prime factors to calculate the LCM of 43708 and 43721.

LCM(43708,43721) = 22 × 72 × 2231 × 437211
LCM(43708,43721) = 1910957468