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What is the Least Common Multiple of 98075 and 98087?

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 98075 and 98087 is 9619882525.

LCM(98075,98087) = 9619882525

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Least Common Multiple of 98075 and 98087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98075 and 98087, than apply into the LCM equation.

GCF(98075,98087) = 1
LCM(98075,98087) = ( 98075 × 98087) / 1
LCM(98075,98087) = 9619882525 / 1
LCM(98075,98087) = 9619882525

Least Common Multiple (LCM) of 98075 and 98087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98075 and 98087. First we will calculate the prime factors of 98075 and 98087.

Prime Factorization of 98075

Prime factors of 98075 are 5, 3923. Prime factorization of 98075 in exponential form is:

98075 = 52 × 39231

Prime Factorization of 98087

Prime factors of 98087 are 11, 37, 241. Prime factorization of 98087 in exponential form is:

98087 = 111 × 371 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 98075 and 98087.

LCM(98075,98087) = 52 × 39231 × 111 × 371 × 2411
LCM(98075,98087) = 9619882525