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What is the Least Common Multiple of 42371 and 42379?

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 42371 and 42379 is 1795640609.

LCM(42371,42379) = 1795640609

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Least Common Multiple of 42371 and 42379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42371 and 42379, than apply into the LCM equation.

GCF(42371,42379) = 1
LCM(42371,42379) = ( 42371 × 42379) / 1
LCM(42371,42379) = 1795640609 / 1
LCM(42371,42379) = 1795640609

Least Common Multiple (LCM) of 42371 and 42379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42371 and 42379. First we will calculate the prime factors of 42371 and 42379.

Prime Factorization of 42371

Prime factors of 42371 are 7, 6053. Prime factorization of 42371 in exponential form is:

42371 = 71 × 60531

Prime Factorization of 42379

Prime factors of 42379 are 42379. Prime factorization of 42379 in exponential form is:

42379 = 423791

Now multiplying the highest exponent prime factors to calculate the LCM of 42371 and 42379.

LCM(42371,42379) = 71 × 60531 × 423791
LCM(42371,42379) = 1795640609