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What is the Least Common Multiple of 67168 and 67172?

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 67168 and 67172 is 1127952224.

LCM(67168,67172) = 1127952224

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Least Common Multiple of 67168 and 67172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67168 and 67172, than apply into the LCM equation.

GCF(67168,67172) = 4
LCM(67168,67172) = ( 67168 × 67172) / 4
LCM(67168,67172) = 4511808896 / 4
LCM(67168,67172) = 1127952224

Least Common Multiple (LCM) of 67168 and 67172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67168 and 67172. First we will calculate the prime factors of 67168 and 67172.

Prime Factorization of 67168

Prime factors of 67168 are 2, 2099. Prime factorization of 67168 in exponential form is:

67168 = 25 × 20991

Prime Factorization of 67172

Prime factors of 67172 are 2, 7, 2399. Prime factorization of 67172 in exponential form is:

67172 = 22 × 71 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 67168 and 67172.

LCM(67168,67172) = 25 × 20991 × 71 × 23991
LCM(67168,67172) = 1127952224