What is the Least Common Multiple of 43439 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 43439 and 43449 is 1887381111.
LCM(43439,43449) = 1887381111
Least Common Multiple of 43439 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 43439 and 43449, than apply into the LCM equation.
GCF(43439,43449) = 1
LCM(43439,43449) = ( 43439 × 43449) / 1
LCM(43439,43449) = 1887381111 / 1
LCM(43439,43449) = 1887381111
Least Common Multiple (LCM) of 43439 and 43449 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43439 and 43449. First we will calculate the prime factors of 43439 and 43449.
Prime Factorization of 43439
Prime factors of 43439 are 11, 359. Prime factorization of 43439 in exponential form is:
43439 = 112 × 3591
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 43439 and 43449.
LCM(43439,43449) = 112 × 3591 × 31 × 71 × 20691
LCM(43439,43449) = 1887381111
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