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What is the Least Common Multiple of 43246 and 43262?

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 43246 and 43262 is 935454226.

LCM(43246,43262) = 935454226

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Least Common Multiple of 43246 and 43262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43246 and 43262, than apply into the LCM equation.

GCF(43246,43262) = 2
LCM(43246,43262) = ( 43246 × 43262) / 2
LCM(43246,43262) = 1870908452 / 2
LCM(43246,43262) = 935454226

Least Common Multiple (LCM) of 43246 and 43262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43246 and 43262. First we will calculate the prime factors of 43246 and 43262.

Prime Factorization of 43246

Prime factors of 43246 are 2, 7, 3089. Prime factorization of 43246 in exponential form is:

43246 = 21 × 71 × 30891

Prime Factorization of 43262

Prime factors of 43262 are 2, 97, 223. Prime factorization of 43262 in exponential form is:

43262 = 21 × 971 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 43246 and 43262.

LCM(43246,43262) = 21 × 71 × 30891 × 971 × 2231
LCM(43246,43262) = 935454226