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What is the Least Common Multiple of 84182 and 84195?

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 84182 and 84195 is 7087703490.

LCM(84182,84195) = 7087703490

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Least Common Multiple of 84182 and 84195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84182 and 84195, than apply into the LCM equation.

GCF(84182,84195) = 1
LCM(84182,84195) = ( 84182 × 84195) / 1
LCM(84182,84195) = 7087703490 / 1
LCM(84182,84195) = 7087703490

Least Common Multiple (LCM) of 84182 and 84195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84182 and 84195. First we will calculate the prime factors of 84182 and 84195.

Prime Factorization of 84182

Prime factors of 84182 are 2, 7, 859. Prime factorization of 84182 in exponential form is:

84182 = 21 × 72 × 8591

Prime Factorization of 84195

Prime factors of 84195 are 3, 5, 1871. Prime factorization of 84195 in exponential form is:

84195 = 32 × 51 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 84182 and 84195.

LCM(84182,84195) = 21 × 72 × 8591 × 32 × 51 × 18711
LCM(84182,84195) = 7087703490