What is the Least Common Multiple of 66657 and 66665?
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 66657 and 66665 is 4443688905.
LCM(66657,66665) = 4443688905
Least Common Multiple of 66657 and 66665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66657 and 66665, than apply into the LCM equation.
GCF(66657,66665) = 1
LCM(66657,66665) = ( 66657 × 66665) / 1
LCM(66657,66665) = 4443688905 / 1
LCM(66657,66665) = 4443688905
Least Common Multiple (LCM) of 66657 and 66665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66657 and 66665. First we will calculate the prime factors of 66657 and 66665.
Prime Factorization of 66657
Prime factors of 66657 are 3, 17, 1307. Prime factorization of 66657 in exponential form is:
66657 = 31 × 171 × 13071
Prime Factorization of 66665
Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:
66665 = 51 × 671 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 66657 and 66665.
LCM(66657,66665) = 31 × 171 × 13071 × 51 × 671 × 1991
LCM(66657,66665) = 4443688905
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