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What is the Least Common Multiple of 43247 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 43247 and 43262 is 1870951714.

LCM(43247,43262) = 1870951714

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Least Common Multiple of 43247 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 43247 and 43262, than apply into the LCM equation.

GCF(43247,43262) = 1
LCM(43247,43262) = ( 43247 × 43262) / 1
LCM(43247,43262) = 1870951714 / 1
LCM(43247,43262) = 1870951714

Least Common Multiple (LCM) of 43247 and 43262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43247 and 43262. First we will calculate the prime factors of 43247 and 43262.

Prime Factorization of 43247

Prime factors of 43247 are 59, 733. Prime factorization of 43247 in exponential form is:

43247 = 591 × 7331

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 43247 and 43262.

LCM(43247,43262) = 591 × 7331 × 21 × 971 × 2231
LCM(43247,43262) = 1870951714