What is the Least Common Multiple of 43341 and 43349?
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 43349 is 1878789009.
LCM(43341,43349) = 1878789009
Least Common Multiple of 43341 and 43349 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 43349, than apply into the LCM equation.
GCF(43341,43349) = 1
LCM(43341,43349) = ( 43341 × 43349) / 1
LCM(43341,43349) = 1878789009 / 1
LCM(43341,43349) = 1878789009
Least Common Multiple (LCM) of 43341 and 43349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43341 and 43349. First we will calculate the prime factors of 43341 and 43349.
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 43349
Prime factors of 43349 are 67, 647. Prime factorization of 43349 in exponential form is:
43349 = 671 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 43341 and 43349.
LCM(43341,43349) = 31 × 144471 × 671 × 6471
LCM(43341,43349) = 1878789009
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