What is the Least Common Multiple of 66485 and 66497?
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 66485 and 66497 is 4421053045.
LCM(66485,66497) = 4421053045
Least Common Multiple of 66485 and 66497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66485 and 66497, than apply into the LCM equation.
GCF(66485,66497) = 1
LCM(66485,66497) = ( 66485 × 66497) / 1
LCM(66485,66497) = 4421053045 / 1
LCM(66485,66497) = 4421053045
Least Common Multiple (LCM) of 66485 and 66497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66485 and 66497. First we will calculate the prime factors of 66485 and 66497.
Prime Factorization of 66485
Prime factors of 66485 are 5, 13297. Prime factorization of 66485 in exponential form is:
66485 = 51 × 132971
Prime Factorization of 66497
Prime factors of 66497 are 29, 2293. Prime factorization of 66497 in exponential form is:
66497 = 291 × 22931
Now multiplying the highest exponent prime factors to calculate the LCM of 66485 and 66497.
LCM(66485,66497) = 51 × 132971 × 291 × 22931
LCM(66485,66497) = 4421053045
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