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What is the Least Common Multiple of 86513 and 86532?

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 86513 and 86532 is 7486142916.

LCM(86513,86532) = 7486142916

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Least Common Multiple of 86513 and 86532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86513 and 86532, than apply into the LCM equation.

GCF(86513,86532) = 1
LCM(86513,86532) = ( 86513 × 86532) / 1
LCM(86513,86532) = 7486142916 / 1
LCM(86513,86532) = 7486142916

Least Common Multiple (LCM) of 86513 and 86532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86513 and 86532. First we will calculate the prime factors of 86513 and 86532.

Prime Factorization of 86513

Prime factors of 86513 are 7, 17, 727. Prime factorization of 86513 in exponential form is:

86513 = 71 × 171 × 7271

Prime Factorization of 86532

Prime factors of 86532 are 2, 3, 7211. Prime factorization of 86532 in exponential form is:

86532 = 22 × 31 × 72111

Now multiplying the highest exponent prime factors to calculate the LCM of 86513 and 86532.

LCM(86513,86532) = 71 × 171 × 7271 × 22 × 31 × 72111
LCM(86513,86532) = 7486142916