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What is the Least Common Multiple of 47771 and 47779?

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 47771 and 47779 is 2282450609.

LCM(47771,47779) = 2282450609

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Least Common Multiple of 47771 and 47779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47771 and 47779, than apply into the LCM equation.

GCF(47771,47779) = 1
LCM(47771,47779) = ( 47771 × 47779) / 1
LCM(47771,47779) = 2282450609 / 1
LCM(47771,47779) = 2282450609

Least Common Multiple (LCM) of 47771 and 47779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47771 and 47779. First we will calculate the prime factors of 47771 and 47779.

Prime Factorization of 47771

Prime factors of 47771 are 23, 31, 67. Prime factorization of 47771 in exponential form is:

47771 = 231 × 311 × 671

Prime Factorization of 47779

Prime factors of 47779 are 47779. Prime factorization of 47779 in exponential form is:

47779 = 477791

Now multiplying the highest exponent prime factors to calculate the LCM of 47771 and 47779.

LCM(47771,47779) = 231 × 311 × 671 × 477791
LCM(47771,47779) = 2282450609