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What is the Least Common Multiple of 33062 and 33081?

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 33081 is 1093724022.

LCM(33062,33081) = 1093724022

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Least Common Multiple of 33062 and 33081 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 33081, than apply into the LCM equation.

GCF(33062,33081) = 1
LCM(33062,33081) = ( 33062 × 33081) / 1
LCM(33062,33081) = 1093724022 / 1
LCM(33062,33081) = 1093724022

Least Common Multiple (LCM) of 33062 and 33081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33062 and 33081. First we will calculate the prime factors of 33062 and 33081.

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 33081

Prime factors of 33081 are 3, 11027. Prime factorization of 33081 in exponential form is:

33081 = 31 × 110271

Now multiplying the highest exponent prime factors to calculate the LCM of 33062 and 33081.

LCM(33062,33081) = 21 × 611 × 2711 × 31 × 110271
LCM(33062,33081) = 1093724022