What is the Least Common Multiple of 3305 and 3317?
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 3305 and 3317 is 10962685.
LCM(3305,3317) = 10962685
Least Common Multiple of 3305 and 3317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3305 and 3317, than apply into the LCM equation.
GCF(3305,3317) = 1
LCM(3305,3317) = ( 3305 × 3317) / 1
LCM(3305,3317) = 10962685 / 1
LCM(3305,3317) = 10962685
Least Common Multiple (LCM) of 3305 and 3317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3317. First we will calculate the prime factors of 3305 and 3317.
Prime Factorization of 3305
Prime factors of 3305 are 5, 661. Prime factorization of 3305 in exponential form is:
3305 = 51 × 6611
Prime Factorization of 3317
Prime factors of 3317 are 31, 107. Prime factorization of 3317 in exponential form is:
3317 = 311 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3317.
LCM(3305,3317) = 51 × 6611 × 311 × 1071
LCM(3305,3317) = 10962685
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