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What is the Least Common Multiple of 7533 and 7548?

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 7533 and 7548 is 18953028.

LCM(7533,7548) = 18953028

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Least Common Multiple of 7533 and 7548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7533 and 7548, than apply into the LCM equation.

GCF(7533,7548) = 3
LCM(7533,7548) = ( 7533 × 7548) / 3
LCM(7533,7548) = 56859084 / 3
LCM(7533,7548) = 18953028

Least Common Multiple (LCM) of 7533 and 7548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7533 and 7548. First we will calculate the prime factors of 7533 and 7548.

Prime Factorization of 7533

Prime factors of 7533 are 3, 31. Prime factorization of 7533 in exponential form is:

7533 = 35 × 311

Prime Factorization of 7548

Prime factors of 7548 are 2, 3, 17, 37. Prime factorization of 7548 in exponential form is:

7548 = 22 × 31 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 7533 and 7548.

LCM(7533,7548) = 35 × 311 × 22 × 171 × 371
LCM(7533,7548) = 18953028