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What is the Least Common Multiple of 83037 and 83046?

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 83037 and 83046 is 2298630234.

LCM(83037,83046) = 2298630234

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Least Common Multiple of 83037 and 83046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83037 and 83046, than apply into the LCM equation.

GCF(83037,83046) = 3
LCM(83037,83046) = ( 83037 × 83046) / 3
LCM(83037,83046) = 6895890702 / 3
LCM(83037,83046) = 2298630234

Least Common Multiple (LCM) of 83037 and 83046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83037 and 83046. First we will calculate the prime factors of 83037 and 83046.

Prime Factorization of 83037

Prime factors of 83037 are 3, 89, 311. Prime factorization of 83037 in exponential form is:

83037 = 31 × 891 × 3111

Prime Factorization of 83046

Prime factors of 83046 are 2, 3, 13841. Prime factorization of 83046 in exponential form is:

83046 = 21 × 31 × 138411

Now multiplying the highest exponent prime factors to calculate the LCM of 83037 and 83046.

LCM(83037,83046) = 31 × 891 × 3111 × 21 × 138411
LCM(83037,83046) = 2298630234