What is the Least Common Multiple of 6467 and 6487?
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 6467 and 6487 is 41951429.
LCM(6467,6487) = 41951429
Least Common Multiple of 6467 and 6487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6467 and 6487, than apply into the LCM equation.
GCF(6467,6487) = 1
LCM(6467,6487) = ( 6467 × 6487) / 1
LCM(6467,6487) = 41951429 / 1
LCM(6467,6487) = 41951429
Least Common Multiple (LCM) of 6467 and 6487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6467 and 6487. First we will calculate the prime factors of 6467 and 6487.
Prime Factorization of 6467
Prime factors of 6467 are 29, 223. Prime factorization of 6467 in exponential form is:
6467 = 291 × 2231
Prime Factorization of 6487
Prime factors of 6487 are 13, 499. Prime factorization of 6487 in exponential form is:
6487 = 131 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 6467 and 6487.
LCM(6467,6487) = 291 × 2231 × 131 × 4991
LCM(6467,6487) = 41951429
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