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What is the Least Common Multiple of 33062 and 33073?

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 33062 and 33073 is 1093459526.

LCM(33062,33073) = 1093459526

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Least Common Multiple of 33062 and 33073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33062 and 33073, than apply into the LCM equation.

GCF(33062,33073) = 1
LCM(33062,33073) = ( 33062 × 33073) / 1
LCM(33062,33073) = 1093459526 / 1
LCM(33062,33073) = 1093459526

Least Common Multiple (LCM) of 33062 and 33073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33062 and 33073. First we will calculate the prime factors of 33062 and 33073.

Prime Factorization of 33062

Prime factors of 33062 are 2, 61, 271. Prime factorization of 33062 in exponential form is:

33062 = 21 × 611 × 2711

Prime Factorization of 33073

Prime factors of 33073 are 33073. Prime factorization of 33073 in exponential form is:

33073 = 330731

Now multiplying the highest exponent prime factors to calculate the LCM of 33062 and 33073.

LCM(33062,33073) = 21 × 611 × 2711 × 330731
LCM(33062,33073) = 1093459526