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What is the Least Common Multiple of 80481 and 80501?

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 80481 and 80501 is 6478800981.

LCM(80481,80501) = 6478800981

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Least Common Multiple of 80481 and 80501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80481 and 80501, than apply into the LCM equation.

GCF(80481,80501) = 1
LCM(80481,80501) = ( 80481 × 80501) / 1
LCM(80481,80501) = 6478800981 / 1
LCM(80481,80501) = 6478800981

Least Common Multiple (LCM) of 80481 and 80501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80481 and 80501. First we will calculate the prime factors of 80481 and 80501.

Prime Factorization of 80481

Prime factors of 80481 are 3, 139, 193. Prime factorization of 80481 in exponential form is:

80481 = 31 × 1391 × 1931

Prime Factorization of 80501

Prime factors of 80501 are 79, 1019. Prime factorization of 80501 in exponential form is:

80501 = 791 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 80481 and 80501.

LCM(80481,80501) = 31 × 1391 × 1931 × 791 × 10191
LCM(80481,80501) = 6478800981