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What is the Least Common Multiple of 33482 and 33487?

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 33482 and 33487 is 1121211734.

LCM(33482,33487) = 1121211734

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Least Common Multiple of 33482 and 33487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33482 and 33487, than apply into the LCM equation.

GCF(33482,33487) = 1
LCM(33482,33487) = ( 33482 × 33487) / 1
LCM(33482,33487) = 1121211734 / 1
LCM(33482,33487) = 1121211734

Least Common Multiple (LCM) of 33482 and 33487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33482 and 33487. First we will calculate the prime factors of 33482 and 33487.

Prime Factorization of 33482

Prime factors of 33482 are 2, 16741. Prime factorization of 33482 in exponential form is:

33482 = 21 × 167411

Prime Factorization of 33487

Prime factors of 33487 are 33487. Prime factorization of 33487 in exponential form is:

33487 = 334871

Now multiplying the highest exponent prime factors to calculate the LCM of 33482 and 33487.

LCM(33482,33487) = 21 × 167411 × 334871
LCM(33482,33487) = 1121211734