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What is the Least Common Multiple of 43207 and 43211?

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 43207 and 43211 is 1867017677.

LCM(43207,43211) = 1867017677

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Least Common Multiple of 43207 and 43211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43207 and 43211, than apply into the LCM equation.

GCF(43207,43211) = 1
LCM(43207,43211) = ( 43207 × 43211) / 1
LCM(43207,43211) = 1867017677 / 1
LCM(43207,43211) = 1867017677

Least Common Multiple (LCM) of 43207 and 43211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43207 and 43211. First we will calculate the prime factors of 43207 and 43211.

Prime Factorization of 43207

Prime factors of 43207 are 43207. Prime factorization of 43207 in exponential form is:

43207 = 432071

Prime Factorization of 43211

Prime factors of 43211 are 7, 6173. Prime factorization of 43211 in exponential form is:

43211 = 71 × 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 43207 and 43211.

LCM(43207,43211) = 432071 × 71 × 61731
LCM(43207,43211) = 1867017677