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What is the Least Common Multiple of 86798 and 86813?

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 86798 and 86813 is 7535194774.

LCM(86798,86813) = 7535194774

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Least Common Multiple of 86798 and 86813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86798 and 86813, than apply into the LCM equation.

GCF(86798,86813) = 1
LCM(86798,86813) = ( 86798 × 86813) / 1
LCM(86798,86813) = 7535194774 / 1
LCM(86798,86813) = 7535194774

Least Common Multiple (LCM) of 86798 and 86813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86798 and 86813. First we will calculate the prime factors of 86798 and 86813.

Prime Factorization of 86798

Prime factors of 86798 are 2, 43399. Prime factorization of 86798 in exponential form is:

86798 = 21 × 433991

Prime Factorization of 86813

Prime factors of 86813 are 86813. Prime factorization of 86813 in exponential form is:

86813 = 868131

Now multiplying the highest exponent prime factors to calculate the LCM of 86798 and 86813.

LCM(86798,86813) = 21 × 433991 × 868131
LCM(86798,86813) = 7535194774