What is the Least Common Multiple of 6163 and 6169?
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 6163 and 6169 is 38019547.
LCM(6163,6169) = 38019547
Least Common Multiple of 6163 and 6169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6163 and 6169, than apply into the LCM equation.
GCF(6163,6169) = 1
LCM(6163,6169) = ( 6163 × 6169) / 1
LCM(6163,6169) = 38019547 / 1
LCM(6163,6169) = 38019547
Least Common Multiple (LCM) of 6163 and 6169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6163 and 6169. First we will calculate the prime factors of 6163 and 6169.
Prime Factorization of 6163
Prime factors of 6163 are 6163. Prime factorization of 6163 in exponential form is:
6163 = 61631
Prime Factorization of 6169
Prime factors of 6169 are 31, 199. Prime factorization of 6169 in exponential form is:
6169 = 311 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 6163 and 6169.
LCM(6163,6169) = 61631 × 311 × 1991
LCM(6163,6169) = 38019547
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