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What is the Least Common Multiple of 47684 and 47701?

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 47684 and 47701 is 2274574484.

LCM(47684,47701) = 2274574484

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Least Common Multiple of 47684 and 47701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47684 and 47701, than apply into the LCM equation.

GCF(47684,47701) = 1
LCM(47684,47701) = ( 47684 × 47701) / 1
LCM(47684,47701) = 2274574484 / 1
LCM(47684,47701) = 2274574484

Least Common Multiple (LCM) of 47684 and 47701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47684 and 47701. First we will calculate the prime factors of 47684 and 47701.

Prime Factorization of 47684

Prime factors of 47684 are 2, 7, 13, 131. Prime factorization of 47684 in exponential form is:

47684 = 22 × 71 × 131 × 1311

Prime Factorization of 47701

Prime factors of 47701 are 47701. Prime factorization of 47701 in exponential form is:

47701 = 477011

Now multiplying the highest exponent prime factors to calculate the LCM of 47684 and 47701.

LCM(47684,47701) = 22 × 71 × 131 × 1311 × 477011
LCM(47684,47701) = 2274574484