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What is the Least Common Multiple of 4889 and 4900?

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 4900 is 23956100.

LCM(4889,4900) = 23956100

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Least Common Multiple of 4889 and 4900 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 4900, than apply into the LCM equation.

GCF(4889,4900) = 1
LCM(4889,4900) = ( 4889 × 4900) / 1
LCM(4889,4900) = 23956100 / 1
LCM(4889,4900) = 23956100

Least Common Multiple (LCM) of 4889 and 4900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4900. First we will calculate the prime factors of 4889 and 4900.

Prime Factorization of 4889

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

4889 = 48891

Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 22 × 52 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4900.

LCM(4889,4900) = 48891 × 22 × 52 × 72
LCM(4889,4900) = 23956100