What is the Least Common Multiple of 27049 and 27054?
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 27049 and 27054 is 731783646.
LCM(27049,27054) = 731783646
Least Common Multiple of 27049 and 27054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27049 and 27054, than apply into the LCM equation.
GCF(27049,27054) = 1
LCM(27049,27054) = ( 27049 × 27054) / 1
LCM(27049,27054) = 731783646 / 1
LCM(27049,27054) = 731783646
Least Common Multiple (LCM) of 27049 and 27054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27049 and 27054. First we will calculate the prime factors of 27049 and 27054.
Prime Factorization of 27049
Prime factors of 27049 are 11, 2459. Prime factorization of 27049 in exponential form is:
27049 = 111 × 24591
Prime Factorization of 27054
Prime factors of 27054 are 2, 3, 167. Prime factorization of 27054 in exponential form is:
27054 = 21 × 34 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 27049 and 27054.
LCM(27049,27054) = 111 × 24591 × 21 × 34 × 1671
LCM(27049,27054) = 731783646
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