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What is the Least Common Multiple of 43247 and 43263?

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 43263 is 1870994961.

LCM(43247,43263) = 1870994961

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Least Common Multiple of 43247 and 43263 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 43263, than apply into the LCM equation.

GCF(43247,43263) = 1
LCM(43247,43263) = ( 43247 × 43263) / 1
LCM(43247,43263) = 1870994961 / 1
LCM(43247,43263) = 1870994961

Least Common Multiple (LCM) of 43247 and 43263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43247 and 43263. First we will calculate the prime factors of 43247 and 43263.

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 43263

Prime factors of 43263 are 3, 11, 19, 23. Prime factorization of 43263 in exponential form is:

43263 = 32 × 111 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 43247 and 43263.

LCM(43247,43263) = 591 × 7331 × 32 × 111 × 191 × 231
LCM(43247,43263) = 1870994961