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What is the Least Common Multiple of 48882 and 48887?

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 48882 and 48887 is 2389694334.

LCM(48882,48887) = 2389694334

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Least Common Multiple of 48882 and 48887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48882 and 48887, than apply into the LCM equation.

GCF(48882,48887) = 1
LCM(48882,48887) = ( 48882 × 48887) / 1
LCM(48882,48887) = 2389694334 / 1
LCM(48882,48887) = 2389694334

Least Common Multiple (LCM) of 48882 and 48887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48882 and 48887. First we will calculate the prime factors of 48882 and 48887.

Prime Factorization of 48882

Prime factors of 48882 are 2, 3, 8147. Prime factorization of 48882 in exponential form is:

48882 = 21 × 31 × 81471

Prime Factorization of 48887

Prime factors of 48887 are 19, 31, 83. Prime factorization of 48887 in exponential form is:

48887 = 191 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 48882 and 48887.

LCM(48882,48887) = 21 × 31 × 81471 × 191 × 311 × 831
LCM(48882,48887) = 2389694334