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What is the Least Common Multiple of 8301 and 8315?

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 8301 and 8315 is 69022815.

LCM(8301,8315) = 69022815

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Least Common Multiple of 8301 and 8315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8301 and 8315, than apply into the LCM equation.

GCF(8301,8315) = 1
LCM(8301,8315) = ( 8301 × 8315) / 1
LCM(8301,8315) = 69022815 / 1
LCM(8301,8315) = 69022815

Least Common Multiple (LCM) of 8301 and 8315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8301 and 8315. First we will calculate the prime factors of 8301 and 8315.

Prime Factorization of 8301

Prime factors of 8301 are 3, 2767. Prime factorization of 8301 in exponential form is:

8301 = 31 × 27671

Prime Factorization of 8315

Prime factors of 8315 are 5, 1663. Prime factorization of 8315 in exponential form is:

8315 = 51 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 8301 and 8315.

LCM(8301,8315) = 31 × 27671 × 51 × 16631
LCM(8301,8315) = 69022815