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What is the Least Common Multiple of 84889 and 84898?

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 84889 and 84898 is 7206906322.

LCM(84889,84898) = 7206906322

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Least Common Multiple of 84889 and 84898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84889 and 84898, than apply into the LCM equation.

GCF(84889,84898) = 1
LCM(84889,84898) = ( 84889 × 84898) / 1
LCM(84889,84898) = 7206906322 / 1
LCM(84889,84898) = 7206906322

Least Common Multiple (LCM) of 84889 and 84898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84889 and 84898. First we will calculate the prime factors of 84889 and 84898.

Prime Factorization of 84889

Prime factors of 84889 are 7, 67, 181. Prime factorization of 84889 in exponential form is:

84889 = 71 × 671 × 1811

Prime Factorization of 84898

Prime factors of 84898 are 2, 11, 17, 227. Prime factorization of 84898 in exponential form is:

84898 = 21 × 111 × 171 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 84889 and 84898.

LCM(84889,84898) = 71 × 671 × 1811 × 21 × 111 × 171 × 2271
LCM(84889,84898) = 7206906322