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What is the Least Common Multiple of 4576 and 4592?

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 4576 and 4592 is 1313312.

LCM(4576,4592) = 1313312

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Least Common Multiple of 4576 and 4592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4576 and 4592, than apply into the LCM equation.

GCF(4576,4592) = 16
LCM(4576,4592) = ( 4576 × 4592) / 16
LCM(4576,4592) = 21012992 / 16
LCM(4576,4592) = 1313312

Least Common Multiple (LCM) of 4576 and 4592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4576 and 4592. First we will calculate the prime factors of 4576 and 4592.

Prime Factorization of 4576

Prime factors of 4576 are 2, 11, 13. Prime factorization of 4576 in exponential form is:

4576 = 25 × 111 × 131

Prime Factorization of 4592

Prime factors of 4592 are 2, 7, 41. Prime factorization of 4592 in exponential form is:

4592 = 24 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4576 and 4592.

LCM(4576,4592) = 25 × 111 × 131 × 71 × 411
LCM(4576,4592) = 1313312