What is the Least Common Multiple of 27053 and 27061?
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 27053 and 27061 is 732081233.
LCM(27053,27061) = 732081233
Least Common Multiple of 27053 and 27061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27053 and 27061, than apply into the LCM equation.
GCF(27053,27061) = 1
LCM(27053,27061) = ( 27053 × 27061) / 1
LCM(27053,27061) = 732081233 / 1
LCM(27053,27061) = 732081233
Least Common Multiple (LCM) of 27053 and 27061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27053 and 27061. First we will calculate the prime factors of 27053 and 27061.
Prime Factorization of 27053
Prime factors of 27053 are 13, 2081. Prime factorization of 27053 in exponential form is:
27053 = 131 × 20811
Prime Factorization of 27061
Prime factors of 27061 are 27061. Prime factorization of 27061 in exponential form is:
27061 = 270611
Now multiplying the highest exponent prime factors to calculate the LCM of 27053 and 27061.
LCM(27053,27061) = 131 × 20811 × 270611
LCM(27053,27061) = 732081233
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