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What is the Least Common Multiple of 84147 and 84152?

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 84147 and 84152 is 7081138344.

LCM(84147,84152) = 7081138344

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Least Common Multiple of 84147 and 84152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84147 and 84152, than apply into the LCM equation.

GCF(84147,84152) = 1
LCM(84147,84152) = ( 84147 × 84152) / 1
LCM(84147,84152) = 7081138344 / 1
LCM(84147,84152) = 7081138344

Least Common Multiple (LCM) of 84147 and 84152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84147 and 84152. First we will calculate the prime factors of 84147 and 84152.

Prime Factorization of 84147

Prime factors of 84147 are 3, 7, 4007. Prime factorization of 84147 in exponential form is:

84147 = 31 × 71 × 40071

Prime Factorization of 84152

Prime factors of 84152 are 2, 67, 157. Prime factorization of 84152 in exponential form is:

84152 = 23 × 671 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 84147 and 84152.

LCM(84147,84152) = 31 × 71 × 40071 × 23 × 671 × 1571
LCM(84147,84152) = 7081138344