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What is the Least Common Multiple of 47267 and 47282?

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 47267 and 47282 is 2234878294.

LCM(47267,47282) = 2234878294

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Least Common Multiple of 47267 and 47282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47267 and 47282, than apply into the LCM equation.

GCF(47267,47282) = 1
LCM(47267,47282) = ( 47267 × 47282) / 1
LCM(47267,47282) = 2234878294 / 1
LCM(47267,47282) = 2234878294

Least Common Multiple (LCM) of 47267 and 47282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47267 and 47282. First we will calculate the prime factors of 47267 and 47282.

Prime Factorization of 47267

Prime factors of 47267 are 11, 4297. Prime factorization of 47267 in exponential form is:

47267 = 111 × 42971

Prime Factorization of 47282

Prime factors of 47282 are 2, 47, 503. Prime factorization of 47282 in exponential form is:

47282 = 21 × 471 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 47267 and 47282.

LCM(47267,47282) = 111 × 42971 × 21 × 471 × 5031
LCM(47267,47282) = 2234878294