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What is the Least Common Multiple of 4888 and 4892?

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 4892 is 5978024.

LCM(4888,4892) = 5978024

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Least Common Multiple of 4888 and 4892 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 4892, than apply into the LCM equation.

GCF(4888,4892) = 4
LCM(4888,4892) = ( 4888 × 4892) / 4
LCM(4888,4892) = 23912096 / 4
LCM(4888,4892) = 5978024

Least Common Multiple (LCM) of 4888 and 4892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4892. First we will calculate the prime factors of 4888 and 4892.

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 4892

Prime factors of 4892 are 2, 1223. Prime factorization of 4892 in exponential form is:

4892 = 22 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 4888 and 4892.

LCM(4888,4892) = 23 × 131 × 471 × 12231
LCM(4888,4892) = 5978024