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What is the Least Common Multiple of 85363 and 85379?

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 85363 and 85379 is 7288207577.

LCM(85363,85379) = 7288207577

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Least Common Multiple of 85363 and 85379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85363 and 85379, than apply into the LCM equation.

GCF(85363,85379) = 1
LCM(85363,85379) = ( 85363 × 85379) / 1
LCM(85363,85379) = 7288207577 / 1
LCM(85363,85379) = 7288207577

Least Common Multiple (LCM) of 85363 and 85379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85363 and 85379. First we will calculate the prime factors of 85363 and 85379.

Prime Factorization of 85363

Prime factors of 85363 are 85363. Prime factorization of 85363 in exponential form is:

85363 = 853631

Prime Factorization of 85379

Prime factors of 85379 are 7, 12197. Prime factorization of 85379 in exponential form is:

85379 = 71 × 121971

Now multiplying the highest exponent prime factors to calculate the LCM of 85363 and 85379.

LCM(85363,85379) = 853631 × 71 × 121971
LCM(85363,85379) = 7288207577