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What is the Least Common Multiple of 4910 and 4917?

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 4910 and 4917 is 24142470.

LCM(4910,4917) = 24142470

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Least Common Multiple of 4910 and 4917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4910 and 4917, than apply into the LCM equation.

GCF(4910,4917) = 1
LCM(4910,4917) = ( 4910 × 4917) / 1
LCM(4910,4917) = 24142470 / 1
LCM(4910,4917) = 24142470

Least Common Multiple (LCM) of 4910 and 4917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4910 and 4917. First we will calculate the prime factors of 4910 and 4917.

Prime Factorization of 4910

Prime factors of 4910 are 2, 5, 491. Prime factorization of 4910 in exponential form is:

4910 = 21 × 51 × 4911

Prime Factorization of 4917

Prime factors of 4917 are 3, 11, 149. Prime factorization of 4917 in exponential form is:

4917 = 31 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4910 and 4917.

LCM(4910,4917) = 21 × 51 × 4911 × 31 × 111 × 1491
LCM(4910,4917) = 24142470