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What is the Least Common Multiple of 1629 and 1647?

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 1629 and 1647 is 298107.

LCM(1629,1647) = 298107

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Least Common Multiple of 1629 and 1647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1629 and 1647, than apply into the LCM equation.

GCF(1629,1647) = 9
LCM(1629,1647) = ( 1629 × 1647) / 9
LCM(1629,1647) = 2682963 / 9
LCM(1629,1647) = 298107

Least Common Multiple (LCM) of 1629 and 1647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1629 and 1647. First we will calculate the prime factors of 1629 and 1647.

Prime Factorization of 1629

Prime factors of 1629 are 3, 181. Prime factorization of 1629 in exponential form is:

1629 = 32 × 1811

Prime Factorization of 1647

Prime factors of 1647 are 3, 61. Prime factorization of 1647 in exponential form is:

1647 = 33 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 1629 and 1647.

LCM(1629,1647) = 33 × 1811 × 611
LCM(1629,1647) = 298107