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What is the Least Common Multiple of 4797 and 4813?

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 4797 and 4813 is 23087961.

LCM(4797,4813) = 23087961

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Least Common Multiple of 4797 and 4813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4797 and 4813, than apply into the LCM equation.

GCF(4797,4813) = 1
LCM(4797,4813) = ( 4797 × 4813) / 1
LCM(4797,4813) = 23087961 / 1
LCM(4797,4813) = 23087961

Least Common Multiple (LCM) of 4797 and 4813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4797 and 4813. First we will calculate the prime factors of 4797 and 4813.

Prime Factorization of 4797

Prime factors of 4797 are 3, 13, 41. Prime factorization of 4797 in exponential form is:

4797 = 32 × 131 × 411

Prime Factorization of 4813

Prime factors of 4813 are 4813. Prime factorization of 4813 in exponential form is:

4813 = 48131

Now multiplying the highest exponent prime factors to calculate the LCM of 4797 and 4813.

LCM(4797,4813) = 32 × 131 × 411 × 48131
LCM(4797,4813) = 23087961