What is the Least Common Multiple of 27044 and 27056?
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 27044 and 27056 is 182925616.
LCM(27044,27056) = 182925616
Least Common Multiple of 27044 and 27056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27044 and 27056, than apply into the LCM equation.
GCF(27044,27056) = 4
LCM(27044,27056) = ( 27044 × 27056) / 4
LCM(27044,27056) = 731702464 / 4
LCM(27044,27056) = 182925616
Least Common Multiple (LCM) of 27044 and 27056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27044 and 27056. First we will calculate the prime factors of 27044 and 27056.
Prime Factorization of 27044
Prime factors of 27044 are 2, 6761. Prime factorization of 27044 in exponential form is:
27044 = 22 × 67611
Prime Factorization of 27056
Prime factors of 27056 are 2, 19, 89. Prime factorization of 27056 in exponential form is:
27056 = 24 × 191 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 27044 and 27056.
LCM(27044,27056) = 24 × 67611 × 191 × 891
LCM(27044,27056) = 182925616
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