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What is the Least Common Multiple of 1629 and 1635?

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 1635 is 887805.

LCM(1629,1635) = 887805

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Least Common Multiple of 1629 and 1635 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 1635, than apply into the LCM equation.

GCF(1629,1635) = 3
LCM(1629,1635) = ( 1629 × 1635) / 3
LCM(1629,1635) = 2663415 / 3
LCM(1629,1635) = 887805

Least Common Multiple (LCM) of 1629 and 1635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1629 and 1635. First we will calculate the prime factors of 1629 and 1635.

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 1635

Prime factors of 1635 are 3, 5, 109. Prime factorization of 1635 in exponential form is:

1635 = 31 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1629 and 1635.

LCM(1629,1635) = 32 × 1811 × 51 × 1091
LCM(1629,1635) = 887805