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What is the Least Common Multiple of 4959 and 4973?

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 4959 and 4973 is 24661107.

LCM(4959,4973) = 24661107

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Least Common Multiple of 4959 and 4973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4959 and 4973, than apply into the LCM equation.

GCF(4959,4973) = 1
LCM(4959,4973) = ( 4959 × 4973) / 1
LCM(4959,4973) = 24661107 / 1
LCM(4959,4973) = 24661107

Least Common Multiple (LCM) of 4959 and 4973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4959 and 4973. First we will calculate the prime factors of 4959 and 4973.

Prime Factorization of 4959

Prime factors of 4959 are 3, 19, 29. Prime factorization of 4959 in exponential form is:

4959 = 32 × 191 × 291

Prime Factorization of 4973

Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:

4973 = 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 4959 and 4973.

LCM(4959,4973) = 32 × 191 × 291 × 49731
LCM(4959,4973) = 24661107