What is the Least Common Multiple of 17237 and 17254?
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 17237 and 17254 is 297407198.
LCM(17237,17254) = 297407198
Least Common Multiple of 17237 and 17254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17237 and 17254, than apply into the LCM equation.
GCF(17237,17254) = 1
LCM(17237,17254) = ( 17237 × 17254) / 1
LCM(17237,17254) = 297407198 / 1
LCM(17237,17254) = 297407198
Least Common Multiple (LCM) of 17237 and 17254 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17237 and 17254. First we will calculate the prime factors of 17237 and 17254.
Prime Factorization of 17237
Prime factors of 17237 are 11, 1567. Prime factorization of 17237 in exponential form is:
17237 = 111 × 15671
Prime Factorization of 17254
Prime factors of 17254 are 2, 8627. Prime factorization of 17254 in exponential form is:
17254 = 21 × 86271
Now multiplying the highest exponent prime factors to calculate the LCM of 17237 and 17254.
LCM(17237,17254) = 111 × 15671 × 21 × 86271
LCM(17237,17254) = 297407198
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