What is the Least Common Multiple of 17188 and 17206?
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 17188 and 17206 is 147868364.
LCM(17188,17206) = 147868364
Least Common Multiple of 17188 and 17206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17188 and 17206, than apply into the LCM equation.
GCF(17188,17206) = 2
LCM(17188,17206) = ( 17188 × 17206) / 2
LCM(17188,17206) = 295736728 / 2
LCM(17188,17206) = 147868364
Least Common Multiple (LCM) of 17188 and 17206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17188 and 17206. First we will calculate the prime factors of 17188 and 17206.
Prime Factorization of 17188
Prime factors of 17188 are 2, 4297. Prime factorization of 17188 in exponential form is:
17188 = 22 × 42971
Prime Factorization of 17206
Prime factors of 17206 are 2, 7, 1229. Prime factorization of 17206 in exponential form is:
17206 = 21 × 71 × 12291
Now multiplying the highest exponent prime factors to calculate the LCM of 17188 and 17206.
LCM(17188,17206) = 22 × 42971 × 71 × 12291
LCM(17188,17206) = 147868364
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