What is the Least Common Multiple of 27181 and 27201?
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 27181 and 27201 is 739350381.
LCM(27181,27201) = 739350381
Least Common Multiple of 27181 and 27201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27181 and 27201, than apply into the LCM equation.
GCF(27181,27201) = 1
LCM(27181,27201) = ( 27181 × 27201) / 1
LCM(27181,27201) = 739350381 / 1
LCM(27181,27201) = 739350381
Least Common Multiple (LCM) of 27181 and 27201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27181 and 27201. First we will calculate the prime factors of 27181 and 27201.
Prime Factorization of 27181
Prime factors of 27181 are 7, 11, 353. Prime factorization of 27181 in exponential form is:
27181 = 71 × 111 × 3531
Prime Factorization of 27201
Prime factors of 27201 are 3, 9067. Prime factorization of 27201 in exponential form is:
27201 = 31 × 90671
Now multiplying the highest exponent prime factors to calculate the LCM of 27181 and 27201.
LCM(27181,27201) = 71 × 111 × 3531 × 31 × 90671
LCM(27181,27201) = 739350381
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