What is the Least Common Multiple of 19173 and 19183?
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 19173 and 19183 is 367795659.
LCM(19173,19183) = 367795659
Least Common Multiple of 19173 and 19183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19173 and 19183, than apply into the LCM equation.
GCF(19173,19183) = 1
LCM(19173,19183) = ( 19173 × 19183) / 1
LCM(19173,19183) = 367795659 / 1
LCM(19173,19183) = 367795659
Least Common Multiple (LCM) of 19173 and 19183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19173 and 19183. First we will calculate the prime factors of 19173 and 19183.
Prime Factorization of 19173
Prime factors of 19173 are 3, 7, 11, 83. Prime factorization of 19173 in exponential form is:
19173 = 31 × 71 × 111 × 831
Prime Factorization of 19183
Prime factors of 19183 are 19183. Prime factorization of 19183 in exponential form is:
19183 = 191831
Now multiplying the highest exponent prime factors to calculate the LCM of 19173 and 19183.
LCM(19173,19183) = 31 × 71 × 111 × 831 × 191831
LCM(19173,19183) = 367795659
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