What is the Least Common Multiple of 27195 and 27205?
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 27195 and 27205 is 147967995.
LCM(27195,27205) = 147967995
Least Common Multiple of 27195 and 27205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27195 and 27205, than apply into the LCM equation.
GCF(27195,27205) = 5
LCM(27195,27205) = ( 27195 × 27205) / 5
LCM(27195,27205) = 739839975 / 5
LCM(27195,27205) = 147967995
Least Common Multiple (LCM) of 27195 and 27205 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27195 and 27205. First we will calculate the prime factors of 27195 and 27205.
Prime Factorization of 27195
Prime factors of 27195 are 3, 5, 7, 37. Prime factorization of 27195 in exponential form is:
27195 = 31 × 51 × 72 × 371
Prime Factorization of 27205
Prime factors of 27205 are 5, 5441. Prime factorization of 27205 in exponential form is:
27205 = 51 × 54411
Now multiplying the highest exponent prime factors to calculate the LCM of 27195 and 27205.
LCM(27195,27205) = 31 × 51 × 72 × 371 × 54411
LCM(27195,27205) = 147967995
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