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What is the Least Common Multiple of 43437 and 43449?

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 43437 and 43449 is 629098071.

LCM(43437,43449) = 629098071

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Least Common Multiple of 43437 and 43449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43437 and 43449, than apply into the LCM equation.

GCF(43437,43449) = 3
LCM(43437,43449) = ( 43437 × 43449) / 3
LCM(43437,43449) = 1887294213 / 3
LCM(43437,43449) = 629098071

Least Common Multiple (LCM) of 43437 and 43449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43437 and 43449. First we will calculate the prime factors of 43437 and 43449.

Prime Factorization of 43437

Prime factors of 43437 are 3, 14479. Prime factorization of 43437 in exponential form is:

43437 = 31 × 144791

Prime Factorization of 43449

Prime factors of 43449 are 3, 7, 2069. Prime factorization of 43449 in exponential form is:

43449 = 31 × 71 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 43437 and 43449.

LCM(43437,43449) = 31 × 144791 × 71 × 20691
LCM(43437,43449) = 629098071