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What is the Least Common Multiple of 38167 and 38187?

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 38167 and 38187 is 1457483229.

LCM(38167,38187) = 1457483229

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Least Common Multiple of 38167 and 38187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38167 and 38187, than apply into the LCM equation.

GCF(38167,38187) = 1
LCM(38167,38187) = ( 38167 × 38187) / 1
LCM(38167,38187) = 1457483229 / 1
LCM(38167,38187) = 1457483229

Least Common Multiple (LCM) of 38167 and 38187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38167 and 38187. First we will calculate the prime factors of 38167 and 38187.

Prime Factorization of 38167

Prime factors of 38167 are 38167. Prime factorization of 38167 in exponential form is:

38167 = 381671

Prime Factorization of 38187

Prime factors of 38187 are 3, 4243. Prime factorization of 38187 in exponential form is:

38187 = 32 × 42431

Now multiplying the highest exponent prime factors to calculate the LCM of 38167 and 38187.

LCM(38167,38187) = 381671 × 32 × 42431
LCM(38167,38187) = 1457483229