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What is the Least Common Multiple of 80359 and 80366?

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 80359 and 80366 is 6458131394.

LCM(80359,80366) = 6458131394

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Least Common Multiple of 80359 and 80366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80359 and 80366, than apply into the LCM equation.

GCF(80359,80366) = 1
LCM(80359,80366) = ( 80359 × 80366) / 1
LCM(80359,80366) = 6458131394 / 1
LCM(80359,80366) = 6458131394

Least Common Multiple (LCM) of 80359 and 80366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80359 and 80366. First we will calculate the prime factors of 80359 and 80366.

Prime Factorization of 80359

Prime factors of 80359 are 17, 29, 163. Prime factorization of 80359 in exponential form is:

80359 = 171 × 291 × 1631

Prime Factorization of 80366

Prime factors of 80366 are 2, 11, 13, 281. Prime factorization of 80366 in exponential form is:

80366 = 21 × 111 × 131 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 80359 and 80366.

LCM(80359,80366) = 171 × 291 × 1631 × 21 × 111 × 131 × 2811
LCM(80359,80366) = 6458131394