What is the Least Common Multiple of 6271 and 6291?
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 6271 and 6291 is 39450861.
LCM(6271,6291) = 39450861
Least Common Multiple of 6271 and 6291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6271 and 6291, than apply into the LCM equation.
GCF(6271,6291) = 1
LCM(6271,6291) = ( 6271 × 6291) / 1
LCM(6271,6291) = 39450861 / 1
LCM(6271,6291) = 39450861
Least Common Multiple (LCM) of 6271 and 6291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6271 and 6291. First we will calculate the prime factors of 6271 and 6291.
Prime Factorization of 6271
Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:
6271 = 62711
Prime Factorization of 6291
Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:
6291 = 33 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 6271 and 6291.
LCM(6271,6291) = 62711 × 33 × 2331
LCM(6271,6291) = 39450861
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