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What is the Least Common Multiple of 4514 and 4519?

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 4519 is 20398766.

LCM(4514,4519) = 20398766

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Least Common Multiple of 4514 and 4519 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 4519, than apply into the LCM equation.

GCF(4514,4519) = 1
LCM(4514,4519) = ( 4514 × 4519) / 1
LCM(4514,4519) = 20398766 / 1
LCM(4514,4519) = 20398766

Least Common Multiple (LCM) of 4514 and 4519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4514 and 4519. First we will calculate the prime factors of 4514 and 4519.

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 4519

Prime factors of 4519 are 4519. Prime factorization of 4519 in exponential form is:

4519 = 45191

Now multiplying the highest exponent prime factors to calculate the LCM of 4514 and 4519.

LCM(4514,4519) = 21 × 371 × 611 × 45191
LCM(4514,4519) = 20398766