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What is the Least Common Multiple of 4527 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 4527 and 4533 is 6840297.

LCM(4527,4533) = 6840297

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Least Common Multiple of 4527 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 4527 and 4533, than apply into the LCM equation.

GCF(4527,4533) = 3
LCM(4527,4533) = ( 4527 × 4533) / 3
LCM(4527,4533) = 20520891 / 3
LCM(4527,4533) = 6840297

Least Common Multiple (LCM) of 4527 and 4533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4527 and 4533. First we will calculate the prime factors of 4527 and 4533.

Prime Factorization of 4527

Prime factors of 4527 are 3, 503. Prime factorization of 4527 in exponential form is:

4527 = 32 × 5031

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 4527 and 4533.

LCM(4527,4533) = 32 × 5031 × 15111
LCM(4527,4533) = 6840297