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What is the Least Common Multiple of 28633 and 28647?

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 28633 and 28647 is 820249551.

LCM(28633,28647) = 820249551

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Least Common Multiple of 28633 and 28647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28633 and 28647, than apply into the LCM equation.

GCF(28633,28647) = 1
LCM(28633,28647) = ( 28633 × 28647) / 1
LCM(28633,28647) = 820249551 / 1
LCM(28633,28647) = 820249551

Least Common Multiple (LCM) of 28633 and 28647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28633 and 28647. First we will calculate the prime factors of 28633 and 28647.

Prime Factorization of 28633

Prime factors of 28633 are 11, 19, 137. Prime factorization of 28633 in exponential form is:

28633 = 111 × 191 × 1371

Prime Factorization of 28647

Prime factors of 28647 are 3, 1061. Prime factorization of 28647 in exponential form is:

28647 = 33 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 28633 and 28647.

LCM(28633,28647) = 111 × 191 × 1371 × 33 × 10611
LCM(28633,28647) = 820249551