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What is the Least Common Multiple of 4889 and 4895?

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 4889 and 4895 is 23931655.

LCM(4889,4895) = 23931655

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Least Common Multiple of 4889 and 4895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4889 and 4895, than apply into the LCM equation.

GCF(4889,4895) = 1
LCM(4889,4895) = ( 4889 × 4895) / 1
LCM(4889,4895) = 23931655 / 1
LCM(4889,4895) = 23931655

Least Common Multiple (LCM) of 4889 and 4895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4895. First we will calculate the prime factors of 4889 and 4895.

Prime Factorization of 4889

Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:

4889 = 48891

Prime Factorization of 4895

Prime factors of 4895 are 5, 11, 89. Prime factorization of 4895 in exponential form is:

4895 = 51 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4895.

LCM(4889,4895) = 48891 × 51 × 111 × 891
LCM(4889,4895) = 23931655