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What is the Least Common Multiple of 48873 and 48886?

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 48873 and 48886 is 2389205478.

LCM(48873,48886) = 2389205478

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Least Common Multiple of 48873 and 48886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48873 and 48886, than apply into the LCM equation.

GCF(48873,48886) = 1
LCM(48873,48886) = ( 48873 × 48886) / 1
LCM(48873,48886) = 2389205478 / 1
LCM(48873,48886) = 2389205478

Least Common Multiple (LCM) of 48873 and 48886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48873 and 48886. First we will calculate the prime factors of 48873 and 48886.

Prime Factorization of 48873

Prime factors of 48873 are 3, 11, 1481. Prime factorization of 48873 in exponential form is:

48873 = 31 × 111 × 14811

Prime Factorization of 48886

Prime factors of 48886 are 2, 24443. Prime factorization of 48886 in exponential form is:

48886 = 21 × 244431

Now multiplying the highest exponent prime factors to calculate the LCM of 48873 and 48886.

LCM(48873,48886) = 31 × 111 × 14811 × 21 × 244431
LCM(48873,48886) = 2389205478