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What is the Least Common Multiple of 82898 and 82915?

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 82898 and 82915 is 6873487670.

LCM(82898,82915) = 6873487670

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Least Common Multiple of 82898 and 82915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82898 and 82915, than apply into the LCM equation.

GCF(82898,82915) = 1
LCM(82898,82915) = ( 82898 × 82915) / 1
LCM(82898,82915) = 6873487670 / 1
LCM(82898,82915) = 6873487670

Least Common Multiple (LCM) of 82898 and 82915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82898 and 82915. First we will calculate the prime factors of 82898 and 82915.

Prime Factorization of 82898

Prime factors of 82898 are 2, 181, 229. Prime factorization of 82898 in exponential form is:

82898 = 21 × 1811 × 2291

Prime Factorization of 82915

Prime factors of 82915 are 5, 7, 23, 103. Prime factorization of 82915 in exponential form is:

82915 = 51 × 71 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 82898 and 82915.

LCM(82898,82915) = 21 × 1811 × 2291 × 51 × 71 × 231 × 1031
LCM(82898,82915) = 6873487670