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What is the Least Common Multiple of 4736 and 4743?

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 4736 and 4743 is 22462848.

LCM(4736,4743) = 22462848

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Least Common Multiple of 4736 and 4743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4736 and 4743, than apply into the LCM equation.

GCF(4736,4743) = 1
LCM(4736,4743) = ( 4736 × 4743) / 1
LCM(4736,4743) = 22462848 / 1
LCM(4736,4743) = 22462848

Least Common Multiple (LCM) of 4736 and 4743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4736 and 4743. First we will calculate the prime factors of 4736 and 4743.

Prime Factorization of 4736

Prime factors of 4736 are 2, 37. Prime factorization of 4736 in exponential form is:

4736 = 27 × 371

Prime Factorization of 4743

Prime factors of 4743 are 3, 17, 31. Prime factorization of 4743 in exponential form is:

4743 = 32 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4736 and 4743.

LCM(4736,4743) = 27 × 371 × 32 × 171 × 311
LCM(4736,4743) = 22462848