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What is the Least Common Multiple of 86437 and 86452?

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 86437 and 86452 is 7472651524.

LCM(86437,86452) = 7472651524

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Least Common Multiple of 86437 and 86452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86437 and 86452, than apply into the LCM equation.

GCF(86437,86452) = 1
LCM(86437,86452) = ( 86437 × 86452) / 1
LCM(86437,86452) = 7472651524 / 1
LCM(86437,86452) = 7472651524

Least Common Multiple (LCM) of 86437 and 86452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86437 and 86452. First we will calculate the prime factors of 86437 and 86452.

Prime Factorization of 86437

Prime factors of 86437 are 13, 61, 109. Prime factorization of 86437 in exponential form is:

86437 = 131 × 611 × 1091

Prime Factorization of 86452

Prime factors of 86452 are 2, 21613. Prime factorization of 86452 in exponential form is:

86452 = 22 × 216131

Now multiplying the highest exponent prime factors to calculate the LCM of 86437 and 86452.

LCM(86437,86452) = 131 × 611 × 1091 × 22 × 216131
LCM(86437,86452) = 7472651524