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What is the Least Common Multiple of 67628 and 67642?

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 67642 is 2287246588.

LCM(67628,67642) = 2287246588

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Least Common Multiple of 67628 and 67642 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 67642, than apply into the LCM equation.

GCF(67628,67642) = 2
LCM(67628,67642) = ( 67628 × 67642) / 2
LCM(67628,67642) = 4574493176 / 2
LCM(67628,67642) = 2287246588

Least Common Multiple (LCM) of 67628 and 67642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67628 and 67642. First we will calculate the prime factors of 67628 and 67642.

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 67642

Prime factors of 67642 are 2, 31, 1091. Prime factorization of 67642 in exponential form is:

67642 = 21 × 311 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 67628 and 67642.

LCM(67628,67642) = 22 × 111 × 291 × 531 × 311 × 10911
LCM(67628,67642) = 2287246588