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What is the Least Common Multiple of 4513 and 4533?

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 4513 and 4533 is 20457429.

LCM(4513,4533) = 20457429

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Least Common Multiple of 4513 and 4533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4513 and 4533, than apply into the LCM equation.

GCF(4513,4533) = 1
LCM(4513,4533) = ( 4513 × 4533) / 1
LCM(4513,4533) = 20457429 / 1
LCM(4513,4533) = 20457429

Least Common Multiple (LCM) of 4513 and 4533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4513 and 4533. First we will calculate the prime factors of 4513 and 4533.

Prime Factorization of 4513

Prime factors of 4513 are 4513. Prime factorization of 4513 in exponential form is:

4513 = 45131

Prime Factorization of 4533

Prime factors of 4533 are 3, 1511. Prime factorization of 4533 in exponential form is:

4533 = 31 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 4513 and 4533.

LCM(4513,4533) = 45131 × 31 × 15111
LCM(4513,4533) = 20457429