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What is the Least Common Multiple of 1633 and 1638?

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 1633 and 1638 is 2674854.

LCM(1633,1638) = 2674854

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Least Common Multiple of 1633 and 1638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1633 and 1638, than apply into the LCM equation.

GCF(1633,1638) = 1
LCM(1633,1638) = ( 1633 × 1638) / 1
LCM(1633,1638) = 2674854 / 1
LCM(1633,1638) = 2674854

Least Common Multiple (LCM) of 1633 and 1638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1633 and 1638. First we will calculate the prime factors of 1633 and 1638.

Prime Factorization of 1633

Prime factors of 1633 are 23, 71. Prime factorization of 1633 in exponential form is:

1633 = 231 × 711

Prime Factorization of 1638

Prime factors of 1638 are 2, 3, 7, 13. Prime factorization of 1638 in exponential form is:

1638 = 21 × 32 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1633 and 1638.

LCM(1633,1638) = 231 × 711 × 21 × 32 × 71 × 131
LCM(1633,1638) = 2674854