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What is the Least Common Multiple of 4486 and 4506?

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 4486 and 4506 is 10106958.

LCM(4486,4506) = 10106958

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Least Common Multiple of 4486 and 4506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4486 and 4506, than apply into the LCM equation.

GCF(4486,4506) = 2
LCM(4486,4506) = ( 4486 × 4506) / 2
LCM(4486,4506) = 20213916 / 2
LCM(4486,4506) = 10106958

Least Common Multiple (LCM) of 4486 and 4506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4486 and 4506. First we will calculate the prime factors of 4486 and 4506.

Prime Factorization of 4486

Prime factors of 4486 are 2, 2243. Prime factorization of 4486 in exponential form is:

4486 = 21 × 22431

Prime Factorization of 4506

Prime factors of 4506 are 2, 3, 751. Prime factorization of 4506 in exponential form is:

4506 = 21 × 31 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 4486 and 4506.

LCM(4486,4506) = 21 × 22431 × 31 × 7511
LCM(4486,4506) = 10106958