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What is the Least Common Multiple of 43206 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 43206 and 43211 is 1866974466.

LCM(43206,43211) = 1866974466

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Least Common Multiple of 43206 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 43206 and 43211, than apply into the LCM equation.

GCF(43206,43211) = 1
LCM(43206,43211) = ( 43206 × 43211) / 1
LCM(43206,43211) = 1866974466 / 1
LCM(43206,43211) = 1866974466

Least Common Multiple (LCM) of 43206 and 43211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43206 and 43211. First we will calculate the prime factors of 43206 and 43211.

Prime Factorization of 43206

Prime factors of 43206 are 2, 3, 19, 379. Prime factorization of 43206 in exponential form is:

43206 = 21 × 31 × 191 × 3791

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 43206 and 43211.

LCM(43206,43211) = 21 × 31 × 191 × 3791 × 71 × 61731
LCM(43206,43211) = 1866974466