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What is the Least Common Multiple of 48857 and 48862?

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 48857 and 48862 is 2387250734.

LCM(48857,48862) = 2387250734

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Least Common Multiple of 48857 and 48862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48857 and 48862, than apply into the LCM equation.

GCF(48857,48862) = 1
LCM(48857,48862) = ( 48857 × 48862) / 1
LCM(48857,48862) = 2387250734 / 1
LCM(48857,48862) = 2387250734

Least Common Multiple (LCM) of 48857 and 48862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48857 and 48862. First we will calculate the prime factors of 48857 and 48862.

Prime Factorization of 48857

Prime factors of 48857 are 48857. Prime factorization of 48857 in exponential form is:

48857 = 488571

Prime Factorization of 48862

Prime factors of 48862 are 2, 11, 2221. Prime factorization of 48862 in exponential form is:

48862 = 21 × 111 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 48857 and 48862.

LCM(48857,48862) = 488571 × 21 × 111 × 22211
LCM(48857,48862) = 2387250734