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What is the Least Common Multiple of 67852 and 67866?

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 67852 and 67866 is 2302421916.

LCM(67852,67866) = 2302421916

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Least Common Multiple of 67852 and 67866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67852 and 67866, than apply into the LCM equation.

GCF(67852,67866) = 2
LCM(67852,67866) = ( 67852 × 67866) / 2
LCM(67852,67866) = 4604843832 / 2
LCM(67852,67866) = 2302421916

Least Common Multiple (LCM) of 67852 and 67866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67852 and 67866. First we will calculate the prime factors of 67852 and 67866.

Prime Factorization of 67852

Prime factors of 67852 are 2, 16963. Prime factorization of 67852 in exponential form is:

67852 = 22 × 169631

Prime Factorization of 67866

Prime factors of 67866 are 2, 3, 11311. Prime factorization of 67866 in exponential form is:

67866 = 21 × 31 × 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 67852 and 67866.

LCM(67852,67866) = 22 × 169631 × 31 × 113111
LCM(67852,67866) = 2302421916