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What is the Least Common Multiple of 80647 and 80665?

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 80647 and 80665 is 6505390255.

LCM(80647,80665) = 6505390255

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Least Common Multiple of 80647 and 80665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80647 and 80665, than apply into the LCM equation.

GCF(80647,80665) = 1
LCM(80647,80665) = ( 80647 × 80665) / 1
LCM(80647,80665) = 6505390255 / 1
LCM(80647,80665) = 6505390255

Least Common Multiple (LCM) of 80647 and 80665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80647 and 80665. First we will calculate the prime factors of 80647 and 80665.

Prime Factorization of 80647

Prime factors of 80647 are 7, 41, 281. Prime factorization of 80647 in exponential form is:

80647 = 71 × 411 × 2811

Prime Factorization of 80665

Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:

80665 = 51 × 131 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 80647 and 80665.

LCM(80647,80665) = 71 × 411 × 2811 × 51 × 131 × 171 × 731
LCM(80647,80665) = 6505390255