What is the Least Common Multiple of 43499 and 43506?
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 43499 and 43506 is 1892467494.
LCM(43499,43506) = 1892467494
Least Common Multiple of 43499 and 43506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43499 and 43506, than apply into the LCM equation.
GCF(43499,43506) = 1
LCM(43499,43506) = ( 43499 × 43506) / 1
LCM(43499,43506) = 1892467494 / 1
LCM(43499,43506) = 1892467494
Least Common Multiple (LCM) of 43499 and 43506 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43499 and 43506. First we will calculate the prime factors of 43499 and 43506.
Prime Factorization of 43499
Prime factors of 43499 are 43499. Prime factorization of 43499 in exponential form is:
43499 = 434991
Prime Factorization of 43506
Prime factors of 43506 are 2, 3, 2417. Prime factorization of 43506 in exponential form is:
43506 = 21 × 32 × 24171
Now multiplying the highest exponent prime factors to calculate the LCM of 43499 and 43506.
LCM(43499,43506) = 434991 × 21 × 32 × 24171
LCM(43499,43506) = 1892467494
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