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What is the Least Common Multiple of 60087 and 60098?

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 60087 and 60098 is 3611108526.

LCM(60087,60098) = 3611108526

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Least Common Multiple of 60087 and 60098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60087 and 60098, than apply into the LCM equation.

GCF(60087,60098) = 1
LCM(60087,60098) = ( 60087 × 60098) / 1
LCM(60087,60098) = 3611108526 / 1
LCM(60087,60098) = 3611108526

Least Common Multiple (LCM) of 60087 and 60098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60087 and 60098. First we will calculate the prime factors of 60087 and 60098.

Prime Factorization of 60087

Prime factors of 60087 are 3, 20029. Prime factorization of 60087 in exponential form is:

60087 = 31 × 200291

Prime Factorization of 60098

Prime factors of 60098 are 2, 151, 199. Prime factorization of 60098 in exponential form is:

60098 = 21 × 1511 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 60087 and 60098.

LCM(60087,60098) = 31 × 200291 × 21 × 1511 × 1991
LCM(60087,60098) = 3611108526