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What is the Least Common Multiple of 65798 and 65805?

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 65798 and 65805 is 4329837390.

LCM(65798,65805) = 4329837390

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Least Common Multiple of 65798 and 65805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65798 and 65805, than apply into the LCM equation.

GCF(65798,65805) = 1
LCM(65798,65805) = ( 65798 × 65805) / 1
LCM(65798,65805) = 4329837390 / 1
LCM(65798,65805) = 4329837390

Least Common Multiple (LCM) of 65798 and 65805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65798 and 65805. First we will calculate the prime factors of 65798 and 65805.

Prime Factorization of 65798

Prime factors of 65798 are 2, 167, 197. Prime factorization of 65798 in exponential form is:

65798 = 21 × 1671 × 1971

Prime Factorization of 65805

Prime factors of 65805 are 3, 5, 41, 107. Prime factorization of 65805 in exponential form is:

65805 = 31 × 51 × 411 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 65798 and 65805.

LCM(65798,65805) = 21 × 1671 × 1971 × 31 × 51 × 411 × 1071
LCM(65798,65805) = 4329837390