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What is the Least Common Multiple of 93782 and 93790?

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 93782 and 93790 is 4397906890.

LCM(93782,93790) = 4397906890

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Least Common Multiple of 93782 and 93790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93782 and 93790, than apply into the LCM equation.

GCF(93782,93790) = 2
LCM(93782,93790) = ( 93782 × 93790) / 2
LCM(93782,93790) = 8795813780 / 2
LCM(93782,93790) = 4397906890

Least Common Multiple (LCM) of 93782 and 93790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93782 and 93790. First we will calculate the prime factors of 93782 and 93790.

Prime Factorization of 93782

Prime factors of 93782 are 2, 13, 3607. Prime factorization of 93782 in exponential form is:

93782 = 21 × 131 × 36071

Prime Factorization of 93790

Prime factors of 93790 are 2, 5, 83, 113. Prime factorization of 93790 in exponential form is:

93790 = 21 × 51 × 831 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93782 and 93790.

LCM(93782,93790) = 21 × 131 × 36071 × 51 × 831 × 1131
LCM(93782,93790) = 4397906890