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What is the Least Common Multiple of 86636 and 86651?

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 86636 and 86651 is 7507096036.

LCM(86636,86651) = 7507096036

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Least Common Multiple of 86636 and 86651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86636 and 86651, than apply into the LCM equation.

GCF(86636,86651) = 1
LCM(86636,86651) = ( 86636 × 86651) / 1
LCM(86636,86651) = 7507096036 / 1
LCM(86636,86651) = 7507096036

Least Common Multiple (LCM) of 86636 and 86651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86636 and 86651. First we will calculate the prime factors of 86636 and 86651.

Prime Factorization of 86636

Prime factors of 86636 are 2, 11, 179. Prime factorization of 86636 in exponential form is:

86636 = 22 × 112 × 1791

Prime Factorization of 86651

Prime factors of 86651 are 73, 1187. Prime factorization of 86651 in exponential form is:

86651 = 731 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 86636 and 86651.

LCM(86636,86651) = 22 × 112 × 1791 × 731 × 11871
LCM(86636,86651) = 7507096036