What is the Least Common Multiple of 43341 and 43346?
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 43341 and 43346 is 1878658986.
LCM(43341,43346) = 1878658986
Least Common Multiple of 43341 and 43346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43341 and 43346, than apply into the LCM equation.
GCF(43341,43346) = 1
LCM(43341,43346) = ( 43341 × 43346) / 1
LCM(43341,43346) = 1878658986 / 1
LCM(43341,43346) = 1878658986
Least Common Multiple (LCM) of 43341 and 43346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43341 and 43346. First we will calculate the prime factors of 43341 and 43346.
Prime Factorization of 43341
Prime factors of 43341 are 3, 14447. Prime factorization of 43341 in exponential form is:
43341 = 31 × 144471
Prime Factorization of 43346
Prime factors of 43346 are 2, 21673. Prime factorization of 43346 in exponential form is:
43346 = 21 × 216731
Now multiplying the highest exponent prime factors to calculate the LCM of 43341 and 43346.
LCM(43341,43346) = 31 × 144471 × 21 × 216731
LCM(43341,43346) = 1878658986
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