What is the Least Common Multiple of 6393 and 6409?
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 6393 and 6409 is 40972737.
LCM(6393,6409) = 40972737
Least Common Multiple of 6393 and 6409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6393 and 6409, than apply into the LCM equation.
GCF(6393,6409) = 1
LCM(6393,6409) = ( 6393 × 6409) / 1
LCM(6393,6409) = 40972737 / 1
LCM(6393,6409) = 40972737
Least Common Multiple (LCM) of 6393 and 6409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6393 and 6409. First we will calculate the prime factors of 6393 and 6409.
Prime Factorization of 6393
Prime factors of 6393 are 3, 2131. Prime factorization of 6393 in exponential form is:
6393 = 31 × 21311
Prime Factorization of 6409
Prime factors of 6409 are 13, 17, 29. Prime factorization of 6409 in exponential form is:
6409 = 131 × 171 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 6393 and 6409.
LCM(6393,6409) = 31 × 21311 × 131 × 171 × 291
LCM(6393,6409) = 40972737
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