What is the Least Common Multiple of 17026 and 17030?
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 17026 and 17030 is 144976390.
LCM(17026,17030) = 144976390
Least Common Multiple of 17026 and 17030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17026 and 17030, than apply into the LCM equation.
GCF(17026,17030) = 2
LCM(17026,17030) = ( 17026 × 17030) / 2
LCM(17026,17030) = 289952780 / 2
LCM(17026,17030) = 144976390
Least Common Multiple (LCM) of 17026 and 17030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17026 and 17030. First we will calculate the prime factors of 17026 and 17030.
Prime Factorization of 17026
Prime factors of 17026 are 2, 8513. Prime factorization of 17026 in exponential form is:
17026 = 21 × 85131
Prime Factorization of 17030
Prime factors of 17030 are 2, 5, 13, 131. Prime factorization of 17030 in exponential form is:
17030 = 21 × 51 × 131 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 17026 and 17030.
LCM(17026,17030) = 21 × 85131 × 51 × 131 × 1311
LCM(17026,17030) = 144976390
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