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What is the Least Common Multiple of 86411 and 86426?

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 86411 and 86426 is 7468157086.

LCM(86411,86426) = 7468157086

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Least Common Multiple of 86411 and 86426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86411 and 86426, than apply into the LCM equation.

GCF(86411,86426) = 1
LCM(86411,86426) = ( 86411 × 86426) / 1
LCM(86411,86426) = 7468157086 / 1
LCM(86411,86426) = 7468157086

Least Common Multiple (LCM) of 86411 and 86426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86411 and 86426. First we will calculate the prime factors of 86411 and 86426.

Prime Factorization of 86411

Prime factors of 86411 are 13, 17, 23. Prime factorization of 86411 in exponential form is:

86411 = 131 × 172 × 231

Prime Factorization of 86426

Prime factors of 86426 are 2, 79, 547. Prime factorization of 86426 in exponential form is:

86426 = 21 × 791 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 86411 and 86426.

LCM(86411,86426) = 131 × 172 × 231 × 21 × 791 × 5471
LCM(86411,86426) = 7468157086