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What is the Least Common Multiple of 43369 and 43379?

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 43369 and 43379 is 1881303851.

LCM(43369,43379) = 1881303851

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Least Common Multiple of 43369 and 43379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43369 and 43379, than apply into the LCM equation.

GCF(43369,43379) = 1
LCM(43369,43379) = ( 43369 × 43379) / 1
LCM(43369,43379) = 1881303851 / 1
LCM(43369,43379) = 1881303851

Least Common Multiple (LCM) of 43369 and 43379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43369 and 43379. First we will calculate the prime factors of 43369 and 43379.

Prime Factorization of 43369

Prime factors of 43369 are 31, 1399. Prime factorization of 43369 in exponential form is:

43369 = 311 × 13991

Prime Factorization of 43379

Prime factors of 43379 are 7, 6197. Prime factorization of 43379 in exponential form is:

43379 = 71 × 61971

Now multiplying the highest exponent prime factors to calculate the LCM of 43369 and 43379.

LCM(43369,43379) = 311 × 13991 × 71 × 61971
LCM(43369,43379) = 1881303851