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What is the Least Common Multiple of 4787 and 4797?

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 4787 and 4797 is 22963239.

LCM(4787,4797) = 22963239

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Least Common Multiple of 4787 and 4797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4787 and 4797, than apply into the LCM equation.

GCF(4787,4797) = 1
LCM(4787,4797) = ( 4787 × 4797) / 1
LCM(4787,4797) = 22963239 / 1
LCM(4787,4797) = 22963239

Least Common Multiple (LCM) of 4787 and 4797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4787 and 4797. First we will calculate the prime factors of 4787 and 4797.

Prime Factorization of 4787

Prime factors of 4787 are 4787. Prime factorization of 4787 in exponential form is:

4787 = 47871

Prime Factorization of 4797

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

4797 = 32 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4787 and 4797.

LCM(4787,4797) = 47871 × 32 × 131 × 411
LCM(4787,4797) = 22963239