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What is the Least Common Multiple of 84895 and 84907?

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 84895 and 84907 is 7208179765.

LCM(84895,84907) = 7208179765

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Least Common Multiple of 84895 and 84907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84895 and 84907, than apply into the LCM equation.

GCF(84895,84907) = 1
LCM(84895,84907) = ( 84895 × 84907) / 1
LCM(84895,84907) = 7208179765 / 1
LCM(84895,84907) = 7208179765

Least Common Multiple (LCM) of 84895 and 84907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84895 and 84907. First we will calculate the prime factors of 84895 and 84907.

Prime Factorization of 84895

Prime factors of 84895 are 5, 16979. Prime factorization of 84895 in exponential form is:

84895 = 51 × 169791

Prime Factorization of 84907

Prime factors of 84907 are 197, 431. Prime factorization of 84907 in exponential form is:

84907 = 1971 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 84895 and 84907.

LCM(84895,84907) = 51 × 169791 × 1971 × 4311
LCM(84895,84907) = 7208179765