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What is the Least Common Multiple of 4913 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 4913 and 4917 is 24157221.

LCM(4913,4917) = 24157221

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Least Common Multiple of 4913 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 4913 and 4917, than apply into the LCM equation.

GCF(4913,4917) = 1
LCM(4913,4917) = ( 4913 × 4917) / 1
LCM(4913,4917) = 24157221 / 1
LCM(4913,4917) = 24157221

Least Common Multiple (LCM) of 4913 and 4917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4913 and 4917. First we will calculate the prime factors of 4913 and 4917.

Prime Factorization of 4913

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

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 4913 and 4917.

LCM(4913,4917) = 173 × 31 × 111 × 1491
LCM(4913,4917) = 24157221