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What is the Least Common Multiple of 4696 and 4716?

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 4696 and 4716 is 5536584.

LCM(4696,4716) = 5536584

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Least Common Multiple of 4696 and 4716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4696 and 4716, than apply into the LCM equation.

GCF(4696,4716) = 4
LCM(4696,4716) = ( 4696 × 4716) / 4
LCM(4696,4716) = 22146336 / 4
LCM(4696,4716) = 5536584

Least Common Multiple (LCM) of 4696 and 4716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4696 and 4716. First we will calculate the prime factors of 4696 and 4716.

Prime Factorization of 4696

Prime factors of 4696 are 2, 587. Prime factorization of 4696 in exponential form is:

4696 = 23 × 5871

Prime Factorization of 4716

Prime factors of 4716 are 2, 3, 131. Prime factorization of 4716 in exponential form is:

4716 = 22 × 32 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4696 and 4716.

LCM(4696,4716) = 23 × 5871 × 32 × 1311
LCM(4696,4716) = 5536584