What is the Least Common Multiple of 729 and 3249?
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 729 and 3249 is 263169.
LCM(729,3249) = 263169
Least Common Multiple of 729 and 3249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 729 and 3249, than apply into the LCM equation.
GCF(729,3249) = 9
LCM(729,3249) = ( 729 × 3249) / 9
LCM(729,3249) = 2368521 / 9
LCM(729,3249) = 263169
Least Common Multiple (LCM) of 729 and 3249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 3249. First we will calculate the prime factors of 729 and 3249.
Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Prime Factorization of 3249
Prime factors of 3249 are 3, 19. Prime factorization of 3249 in exponential form is:
3249 = 32 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 3249.
LCM(729,3249) = 36 × 192
LCM(729,3249) = 263169
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