What is the Least Common Multiple of 19169 and 19184?
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 19169 and 19184 is 367738096.
LCM(19169,19184) = 367738096
Least Common Multiple of 19169 and 19184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19169 and 19184, than apply into the LCM equation.
GCF(19169,19184) = 1
LCM(19169,19184) = ( 19169 × 19184) / 1
LCM(19169,19184) = 367738096 / 1
LCM(19169,19184) = 367738096
Least Common Multiple (LCM) of 19169 and 19184 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19169 and 19184. First we will calculate the prime factors of 19169 and 19184.
Prime Factorization of 19169
Prime factors of 19169 are 29, 661. Prime factorization of 19169 in exponential form is:
19169 = 291 × 6611
Prime Factorization of 19184
Prime factors of 19184 are 2, 11, 109. Prime factorization of 19184 in exponential form is:
19184 = 24 × 111 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 19169 and 19184.
LCM(19169,19184) = 291 × 6611 × 24 × 111 × 1091
LCM(19169,19184) = 367738096
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