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What is the Least Common Multiple of 4514 and 4524?

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 4514 and 4524 is 10210668.

LCM(4514,4524) = 10210668

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Least Common Multiple of 4514 and 4524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4514 and 4524, than apply into the LCM equation.

GCF(4514,4524) = 2
LCM(4514,4524) = ( 4514 × 4524) / 2
LCM(4514,4524) = 20421336 / 2
LCM(4514,4524) = 10210668

Least Common Multiple (LCM) of 4514 and 4524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4514 and 4524. First we will calculate the prime factors of 4514 and 4524.

Prime Factorization of 4514

Prime factors of 4514 are 2, 37, 61. Prime factorization of 4514 in exponential form is:

4514 = 21 × 371 × 611

Prime Factorization of 4524

Prime factors of 4524 are 2, 3, 13, 29. Prime factorization of 4524 in exponential form is:

4524 = 22 × 31 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4514 and 4524.

LCM(4514,4524) = 22 × 371 × 611 × 31 × 131 × 291
LCM(4514,4524) = 10210668