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What is the Least Common Multiple of 33267 and 33287?

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 33267 and 33287 is 1107358629.

LCM(33267,33287) = 1107358629

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Least Common Multiple of 33267 and 33287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33267 and 33287, than apply into the LCM equation.

GCF(33267,33287) = 1
LCM(33267,33287) = ( 33267 × 33287) / 1
LCM(33267,33287) = 1107358629 / 1
LCM(33267,33287) = 1107358629

Least Common Multiple (LCM) of 33267 and 33287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33267 and 33287. First we will calculate the prime factors of 33267 and 33287.

Prime Factorization of 33267

Prime factors of 33267 are 3, 13, 853. Prime factorization of 33267 in exponential form is:

33267 = 31 × 131 × 8531

Prime Factorization of 33287

Prime factors of 33287 are 33287. Prime factorization of 33287 in exponential form is:

33287 = 332871

Now multiplying the highest exponent prime factors to calculate the LCM of 33267 and 33287.

LCM(33267,33287) = 31 × 131 × 8531 × 332871
LCM(33267,33287) = 1107358629