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What is the Least Common Multiple of 3167 and 3178?

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 3167 and 3178 is 10064726.

LCM(3167,3178) = 10064726

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Least Common Multiple of 3167 and 3178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3167 and 3178, than apply into the LCM equation.

GCF(3167,3178) = 1
LCM(3167,3178) = ( 3167 × 3178) / 1
LCM(3167,3178) = 10064726 / 1
LCM(3167,3178) = 10064726

Least Common Multiple (LCM) of 3167 and 3178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3167 and 3178. First we will calculate the prime factors of 3167 and 3178.

Prime Factorization of 3167

Prime factors of 3167 are 3167. Prime factorization of 3167 in exponential form is:

3167 = 31671

Prime Factorization of 3178

Prime factors of 3178 are 2, 7, 227. Prime factorization of 3178 in exponential form is:

3178 = 21 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3167 and 3178.

LCM(3167,3178) = 31671 × 21 × 71 × 2271
LCM(3167,3178) = 10064726