What is the Least Common Multiple of 19144 and 19162?
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 19144 and 19162 is 183418664.
LCM(19144,19162) = 183418664
Least Common Multiple of 19144 and 19162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19144 and 19162, than apply into the LCM equation.
GCF(19144,19162) = 2
LCM(19144,19162) = ( 19144 × 19162) / 2
LCM(19144,19162) = 366837328 / 2
LCM(19144,19162) = 183418664
Least Common Multiple (LCM) of 19144 and 19162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19144 and 19162. First we will calculate the prime factors of 19144 and 19162.
Prime Factorization of 19144
Prime factors of 19144 are 2, 2393. Prime factorization of 19144 in exponential form is:
19144 = 23 × 23931
Prime Factorization of 19162
Prime factors of 19162 are 2, 11, 13, 67. Prime factorization of 19162 in exponential form is:
19162 = 21 × 111 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 19144 and 19162.
LCM(19144,19162) = 23 × 23931 × 111 × 131 × 671
LCM(19144,19162) = 183418664
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