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What is the Least Common Multiple of 4878 and 4888?

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 4878 and 4888 is 11921832.

LCM(4878,4888) = 11921832

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Least Common Multiple of 4878 and 4888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4878 and 4888, than apply into the LCM equation.

GCF(4878,4888) = 2
LCM(4878,4888) = ( 4878 × 4888) / 2
LCM(4878,4888) = 23843664 / 2
LCM(4878,4888) = 11921832

Least Common Multiple (LCM) of 4878 and 4888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4878 and 4888. First we will calculate the prime factors of 4878 and 4888.

Prime Factorization of 4878

Prime factors of 4878 are 2, 3, 271. Prime factorization of 4878 in exponential form is:

4878 = 21 × 32 × 2711

Prime Factorization of 4888

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

4888 = 23 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4878 and 4888.

LCM(4878,4888) = 23 × 32 × 2711 × 131 × 471
LCM(4878,4888) = 11921832