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What is the Least Common Multiple of 4879 and 4898?

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 4879 and 4898 is 23897342.

LCM(4879,4898) = 23897342

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Least Common Multiple of 4879 and 4898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4879 and 4898, than apply into the LCM equation.

GCF(4879,4898) = 1
LCM(4879,4898) = ( 4879 × 4898) / 1
LCM(4879,4898) = 23897342 / 1
LCM(4879,4898) = 23897342

Least Common Multiple (LCM) of 4879 and 4898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4879 and 4898. First we will calculate the prime factors of 4879 and 4898.

Prime Factorization of 4879

Prime factors of 4879 are 7, 17, 41. Prime factorization of 4879 in exponential form is:

4879 = 71 × 171 × 411

Prime Factorization of 4898

Prime factors of 4898 are 2, 31, 79. Prime factorization of 4898 in exponential form is:

4898 = 21 × 311 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 4879 and 4898.

LCM(4879,4898) = 71 × 171 × 411 × 21 × 311 × 791
LCM(4879,4898) = 23897342