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What is the Least Common Multiple of 48851 and 48867?

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 48851 and 48867 is 2387201817.

LCM(48851,48867) = 2387201817

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Least Common Multiple of 48851 and 48867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48851 and 48867, than apply into the LCM equation.

GCF(48851,48867) = 1
LCM(48851,48867) = ( 48851 × 48867) / 1
LCM(48851,48867) = 2387201817 / 1
LCM(48851,48867) = 2387201817

Least Common Multiple (LCM) of 48851 and 48867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48851 and 48867. First we will calculate the prime factors of 48851 and 48867.

Prime Factorization of 48851

Prime factors of 48851 are 11, 4441. Prime factorization of 48851 in exponential form is:

48851 = 111 × 44411

Prime Factorization of 48867

Prime factors of 48867 are 3, 7, 13, 179. Prime factorization of 48867 in exponential form is:

48867 = 31 × 71 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 48851 and 48867.

LCM(48851,48867) = 111 × 44411 × 31 × 71 × 131 × 1791
LCM(48851,48867) = 2387201817