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What is the Least Common Multiple of 67628 and 67634?

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 67628 and 67634 is 2286976076.

LCM(67628,67634) = 2286976076

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Least Common Multiple of 67628 and 67634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67628 and 67634, than apply into the LCM equation.

GCF(67628,67634) = 2
LCM(67628,67634) = ( 67628 × 67634) / 2
LCM(67628,67634) = 4573952152 / 2
LCM(67628,67634) = 2286976076

Least Common Multiple (LCM) of 67628 and 67634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67628 and 67634. First we will calculate the prime factors of 67628 and 67634.

Prime Factorization of 67628

Prime factors of 67628 are 2, 11, 29, 53. Prime factorization of 67628 in exponential form is:

67628 = 22 × 111 × 291 × 531

Prime Factorization of 67634

Prime factors of 67634 are 2, 7, 4831. Prime factorization of 67634 in exponential form is:

67634 = 21 × 71 × 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 67628 and 67634.

LCM(67628,67634) = 22 × 111 × 291 × 531 × 71 × 48311
LCM(67628,67634) = 2286976076