What is the Least Common Multiple of 6383 and 6387?
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 6383 and 6387 is 40768221.
LCM(6383,6387) = 40768221
Least Common Multiple of 6383 and 6387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6383 and 6387, than apply into the LCM equation.
GCF(6383,6387) = 1
LCM(6383,6387) = ( 6383 × 6387) / 1
LCM(6383,6387) = 40768221 / 1
LCM(6383,6387) = 40768221
Least Common Multiple (LCM) of 6383 and 6387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6383 and 6387. First we will calculate the prime factors of 6383 and 6387.
Prime Factorization of 6383
Prime factors of 6383 are 13, 491. Prime factorization of 6383 in exponential form is:
6383 = 131 × 4911
Prime Factorization of 6387
Prime factors of 6387 are 3, 2129. Prime factorization of 6387 in exponential form is:
6387 = 31 × 21291
Now multiplying the highest exponent prime factors to calculate the LCM of 6383 and 6387.
LCM(6383,6387) = 131 × 4911 × 31 × 21291
LCM(6383,6387) = 40768221
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