What is the Least Common Multiple of 6097 and 6117?
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 6097 and 6117 is 37295349.
LCM(6097,6117) = 37295349
Least Common Multiple of 6097 and 6117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6097 and 6117, than apply into the LCM equation.
GCF(6097,6117) = 1
LCM(6097,6117) = ( 6097 × 6117) / 1
LCM(6097,6117) = 37295349 / 1
LCM(6097,6117) = 37295349
Least Common Multiple (LCM) of 6097 and 6117 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6097 and 6117. First we will calculate the prime factors of 6097 and 6117.
Prime Factorization of 6097
Prime factors of 6097 are 7, 13, 67. Prime factorization of 6097 in exponential form is:
6097 = 71 × 131 × 671
Prime Factorization of 6117
Prime factors of 6117 are 3, 2039. Prime factorization of 6117 in exponential form is:
6117 = 31 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 6097 and 6117.
LCM(6097,6117) = 71 × 131 × 671 × 31 × 20391
LCM(6097,6117) = 37295349
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