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What is the Least Common Multiple of 3174 and 3189?

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 3174 and 3189 is 3373962.

LCM(3174,3189) = 3373962

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Least Common Multiple of 3174 and 3189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3174 and 3189, than apply into the LCM equation.

GCF(3174,3189) = 3
LCM(3174,3189) = ( 3174 × 3189) / 3
LCM(3174,3189) = 10121886 / 3
LCM(3174,3189) = 3373962

Least Common Multiple (LCM) of 3174 and 3189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3189. First we will calculate the prime factors of 3174 and 3189.

Prime Factorization of 3174

Prime factors of 3174 are 2, 3, 23. Prime factorization of 3174 in exponential form is:

3174 = 21 × 31 × 232

Prime Factorization of 3189

Prime factors of 3189 are 3, 1063. Prime factorization of 3189 in exponential form is:

3189 = 31 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 3174 and 3189.

LCM(3174,3189) = 21 × 31 × 232 × 10631
LCM(3174,3189) = 3373962