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What is the Least Common Multiple of 48814 and 48823?

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 48814 and 48823 is 2383245922.

LCM(48814,48823) = 2383245922

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Least Common Multiple of 48814 and 48823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48814 and 48823, than apply into the LCM equation.

GCF(48814,48823) = 1
LCM(48814,48823) = ( 48814 × 48823) / 1
LCM(48814,48823) = 2383245922 / 1
LCM(48814,48823) = 2383245922

Least Common Multiple (LCM) of 48814 and 48823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48814 and 48823. First we will calculate the prime factors of 48814 and 48823.

Prime Factorization of 48814

Prime factors of 48814 are 2, 24407. Prime factorization of 48814 in exponential form is:

48814 = 21 × 244071

Prime Factorization of 48823

Prime factors of 48823 are 48823. Prime factorization of 48823 in exponential form is:

48823 = 488231

Now multiplying the highest exponent prime factors to calculate the LCM of 48814 and 48823.

LCM(48814,48823) = 21 × 244071 × 488231
LCM(48814,48823) = 2383245922