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What is the Least Common Multiple of 84910 and 84927?

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 84910 and 84927 is 7211151570.

LCM(84910,84927) = 7211151570

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Least Common Multiple of 84910 and 84927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84910 and 84927, than apply into the LCM equation.

GCF(84910,84927) = 1
LCM(84910,84927) = ( 84910 × 84927) / 1
LCM(84910,84927) = 7211151570 / 1
LCM(84910,84927) = 7211151570

Least Common Multiple (LCM) of 84910 and 84927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84910 and 84927. First we will calculate the prime factors of 84910 and 84927.

Prime Factorization of 84910

Prime factors of 84910 are 2, 5, 7, 1213. Prime factorization of 84910 in exponential form is:

84910 = 21 × 51 × 71 × 12131

Prime Factorization of 84927

Prime factors of 84927 are 3, 28309. Prime factorization of 84927 in exponential form is:

84927 = 31 × 283091

Now multiplying the highest exponent prime factors to calculate the LCM of 84910 and 84927.

LCM(84910,84927) = 21 × 51 × 71 × 12131 × 31 × 283091
LCM(84910,84927) = 7211151570