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What is the Least Common Multiple of 4797 and 4814?

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 4814 is 23092758.

LCM(4797,4814) = 23092758

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Least Common Multiple of 4797 and 4814 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 4814, than apply into the LCM equation.

GCF(4797,4814) = 1
LCM(4797,4814) = ( 4797 × 4814) / 1
LCM(4797,4814) = 23092758 / 1
LCM(4797,4814) = 23092758

Least Common Multiple (LCM) of 4797 and 4814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4797 and 4814. First we will calculate the prime factors of 4797 and 4814.

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 4814

Prime factors of 4814 are 2, 29, 83. Prime factorization of 4814 in exponential form is:

4814 = 21 × 291 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 4797 and 4814.

LCM(4797,4814) = 32 × 131 × 411 × 21 × 291 × 831
LCM(4797,4814) = 23092758