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What is the Least Common Multiple of 98485 and 98495?

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 98485 and 98495 is 1940056015.

LCM(98485,98495) = 1940056015

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Least Common Multiple of 98485 and 98495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98485 and 98495, than apply into the LCM equation.

GCF(98485,98495) = 5
LCM(98485,98495) = ( 98485 × 98495) / 5
LCM(98485,98495) = 9700280075 / 5
LCM(98485,98495) = 1940056015

Least Common Multiple (LCM) of 98485 and 98495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98485 and 98495. First we will calculate the prime factors of 98485 and 98495.

Prime Factorization of 98485

Prime factors of 98485 are 5, 19697. Prime factorization of 98485 in exponential form is:

98485 = 51 × 196971

Prime Factorization of 98495

Prime factors of 98495 are 5, 19699. Prime factorization of 98495 in exponential form is:

98495 = 51 × 196991

Now multiplying the highest exponent prime factors to calculate the LCM of 98485 and 98495.

LCM(98485,98495) = 51 × 196971 × 196991
LCM(98485,98495) = 1940056015