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What is the Least Common Multiple of 80371 and 80376?

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 80371 and 80376 is 6459899496.

LCM(80371,80376) = 6459899496

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Least Common Multiple of 80371 and 80376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80371 and 80376, than apply into the LCM equation.

GCF(80371,80376) = 1
LCM(80371,80376) = ( 80371 × 80376) / 1
LCM(80371,80376) = 6459899496 / 1
LCM(80371,80376) = 6459899496

Least Common Multiple (LCM) of 80371 and 80376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80371 and 80376. First we will calculate the prime factors of 80371 and 80376.

Prime Factorization of 80371

Prime factors of 80371 are 179, 449. Prime factorization of 80371 in exponential form is:

80371 = 1791 × 4491

Prime Factorization of 80376

Prime factors of 80376 are 2, 3, 17, 197. Prime factorization of 80376 in exponential form is:

80376 = 23 × 31 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 80371 and 80376.

LCM(80371,80376) = 1791 × 4491 × 23 × 31 × 171 × 1971
LCM(80371,80376) = 6459899496