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What is the Least Common Multiple of 4888 and 4905?

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 4888 and 4905 is 23975640.

LCM(4888,4905) = 23975640

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Least Common Multiple of 4888 and 4905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4888 and 4905, than apply into the LCM equation.

GCF(4888,4905) = 1
LCM(4888,4905) = ( 4888 × 4905) / 1
LCM(4888,4905) = 23975640 / 1
LCM(4888,4905) = 23975640

Least Common Multiple (LCM) of 4888 and 4905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4905. First we will calculate the prime factors of 4888 and 4905.

Prime Factorization of 4888

Prime factors of 4888 are 2, 13, 47. Prime factorization of 4888 in exponential form is:

4888 = 23 × 131 × 471

Prime Factorization of 4905

Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:

4905 = 32 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4888 and 4905.

LCM(4888,4905) = 23 × 131 × 471 × 32 × 51 × 1091
LCM(4888,4905) = 23975640