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What is the Least Common Multiple of 84263 and 84270?

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 84263 and 84270 is 7100843010.

LCM(84263,84270) = 7100843010

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Least Common Multiple of 84263 and 84270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84263 and 84270, than apply into the LCM equation.

GCF(84263,84270) = 1
LCM(84263,84270) = ( 84263 × 84270) / 1
LCM(84263,84270) = 7100843010 / 1
LCM(84263,84270) = 7100843010

Least Common Multiple (LCM) of 84263 and 84270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84263 and 84270. First we will calculate the prime factors of 84263 and 84270.

Prime Factorization of 84263

Prime factors of 84263 are 84263. Prime factorization of 84263 in exponential form is:

84263 = 842631

Prime Factorization of 84270

Prime factors of 84270 are 2, 3, 5, 53. Prime factorization of 84270 in exponential form is:

84270 = 21 × 31 × 51 × 532

Now multiplying the highest exponent prime factors to calculate the LCM of 84263 and 84270.

LCM(84263,84270) = 842631 × 21 × 31 × 51 × 532
LCM(84263,84270) = 7100843010