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What is the Least Common Multiple of 48887 and 48895?

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 48887 and 48895 is 2390329865.

LCM(48887,48895) = 2390329865

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Least Common Multiple of 48887 and 48895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48887 and 48895, than apply into the LCM equation.

GCF(48887,48895) = 1
LCM(48887,48895) = ( 48887 × 48895) / 1
LCM(48887,48895) = 2390329865 / 1
LCM(48887,48895) = 2390329865

Least Common Multiple (LCM) of 48887 and 48895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48887 and 48895. First we will calculate the prime factors of 48887 and 48895.

Prime Factorization of 48887

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

48887 = 191 × 311 × 831

Prime Factorization of 48895

Prime factors of 48895 are 5, 7, 11, 127. Prime factorization of 48895 in exponential form is:

48895 = 51 × 71 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 48887 and 48895.

LCM(48887,48895) = 191 × 311 × 831 × 51 × 71 × 111 × 1271
LCM(48887,48895) = 2390329865