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What is the Least Common Multiple of 86603 and 86615?

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 86603 and 86615 is 7501118845.

LCM(86603,86615) = 7501118845

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Least Common Multiple of 86603 and 86615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86603 and 86615, than apply into the LCM equation.

GCF(86603,86615) = 1
LCM(86603,86615) = ( 86603 × 86615) / 1
LCM(86603,86615) = 7501118845 / 1
LCM(86603,86615) = 7501118845

Least Common Multiple (LCM) of 86603 and 86615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86603 and 86615. First we will calculate the prime factors of 86603 and 86615.

Prime Factorization of 86603

Prime factors of 86603 are 11, 7873. Prime factorization of 86603 in exponential form is:

86603 = 111 × 78731

Prime Factorization of 86615

Prime factors of 86615 are 5, 17, 1019. Prime factorization of 86615 in exponential form is:

86615 = 51 × 171 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 86603 and 86615.

LCM(86603,86615) = 111 × 78731 × 51 × 171 × 10191
LCM(86603,86615) = 7501118845