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What is the Least Common Multiple of 47263 and 47283?

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 47263 and 47283 is 2234736429.

LCM(47263,47283) = 2234736429

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Least Common Multiple of 47263 and 47283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47263 and 47283, than apply into the LCM equation.

GCF(47263,47283) = 1
LCM(47263,47283) = ( 47263 × 47283) / 1
LCM(47263,47283) = 2234736429 / 1
LCM(47263,47283) = 2234736429

Least Common Multiple (LCM) of 47263 and 47283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47263 and 47283. First we will calculate the prime factors of 47263 and 47283.

Prime Factorization of 47263

Prime factors of 47263 are 151, 313. Prime factorization of 47263 in exponential form is:

47263 = 1511 × 3131

Prime Factorization of 47283

Prime factors of 47283 are 3, 15761. Prime factorization of 47283 in exponential form is:

47283 = 31 × 157611

Now multiplying the highest exponent prime factors to calculate the LCM of 47263 and 47283.

LCM(47263,47283) = 1511 × 3131 × 31 × 157611
LCM(47263,47283) = 2234736429