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What is the Least Common Multiple of 4687 and 4704?

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 4687 and 4704 is 22047648.

LCM(4687,4704) = 22047648

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Least Common Multiple of 4687 and 4704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4687 and 4704, than apply into the LCM equation.

GCF(4687,4704) = 1
LCM(4687,4704) = ( 4687 × 4704) / 1
LCM(4687,4704) = 22047648 / 1
LCM(4687,4704) = 22047648

Least Common Multiple (LCM) of 4687 and 4704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4687 and 4704. First we will calculate the prime factors of 4687 and 4704.

Prime Factorization of 4687

Prime factors of 4687 are 43, 109. Prime factorization of 4687 in exponential form is:

4687 = 431 × 1091

Prime Factorization of 4704

Prime factors of 4704 are 2, 3, 7. Prime factorization of 4704 in exponential form is:

4704 = 25 × 31 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 4687 and 4704.

LCM(4687,4704) = 431 × 1091 × 25 × 31 × 72
LCM(4687,4704) = 22047648