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What is the Least Common Multiple of 67669 and 67686?

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 67669 and 67686 is 4580243934.

LCM(67669,67686) = 4580243934

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Least Common Multiple of 67669 and 67686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67669 and 67686, than apply into the LCM equation.

GCF(67669,67686) = 1
LCM(67669,67686) = ( 67669 × 67686) / 1
LCM(67669,67686) = 4580243934 / 1
LCM(67669,67686) = 4580243934

Least Common Multiple (LCM) of 67669 and 67686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67669 and 67686. First we will calculate the prime factors of 67669 and 67686.

Prime Factorization of 67669

Prime factors of 67669 are 7, 1381. Prime factorization of 67669 in exponential form is:

67669 = 72 × 13811

Prime Factorization of 67686

Prime factors of 67686 are 2, 3, 29, 389. Prime factorization of 67686 in exponential form is:

67686 = 21 × 31 × 291 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 67669 and 67686.

LCM(67669,67686) = 72 × 13811 × 21 × 31 × 291 × 3891
LCM(67669,67686) = 4580243934