What is the Least Common Multiple of 66135 and 66155?
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 66135 and 66155 is 875032185.
LCM(66135,66155) = 875032185
Least Common Multiple of 66135 and 66155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66135 and 66155, than apply into the LCM equation.
GCF(66135,66155) = 5
LCM(66135,66155) = ( 66135 × 66155) / 5
LCM(66135,66155) = 4375160925 / 5
LCM(66135,66155) = 875032185
Least Common Multiple (LCM) of 66135 and 66155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66155. First we will calculate the prime factors of 66135 and 66155.
Prime Factorization of 66135
Prime factors of 66135 are 3, 5, 4409. Prime factorization of 66135 in exponential form is:
66135 = 31 × 51 × 44091
Prime Factorization of 66155
Prime factors of 66155 are 5, 101, 131. Prime factorization of 66155 in exponential form is:
66155 = 51 × 1011 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66155.
LCM(66135,66155) = 31 × 51 × 44091 × 1011 × 1311
LCM(66135,66155) = 875032185
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