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What is the Least Common Multiple of 8015 and 8026?

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 8015 and 8026 is 64328390.

LCM(8015,8026) = 64328390

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Least Common Multiple of 8015 and 8026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8015 and 8026, than apply into the LCM equation.

GCF(8015,8026) = 1
LCM(8015,8026) = ( 8015 × 8026) / 1
LCM(8015,8026) = 64328390 / 1
LCM(8015,8026) = 64328390

Least Common Multiple (LCM) of 8015 and 8026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8015 and 8026. First we will calculate the prime factors of 8015 and 8026.

Prime Factorization of 8015

Prime factors of 8015 are 5, 7, 229. Prime factorization of 8015 in exponential form is:

8015 = 51 × 71 × 2291

Prime Factorization of 8026

Prime factors of 8026 are 2, 4013. Prime factorization of 8026 in exponential form is:

8026 = 21 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 8015 and 8026.

LCM(8015,8026) = 51 × 71 × 2291 × 21 × 40131
LCM(8015,8026) = 64328390