What is the Least Common Multiple of 17368 and 17379?
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 17368 and 17379 is 301838472.
LCM(17368,17379) = 301838472
Least Common Multiple of 17368 and 17379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17368 and 17379, than apply into the LCM equation.
GCF(17368,17379) = 1
LCM(17368,17379) = ( 17368 × 17379) / 1
LCM(17368,17379) = 301838472 / 1
LCM(17368,17379) = 301838472
Least Common Multiple (LCM) of 17368 and 17379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17368 and 17379. First we will calculate the prime factors of 17368 and 17379.
Prime Factorization of 17368
Prime factors of 17368 are 2, 13, 167. Prime factorization of 17368 in exponential form is:
17368 = 23 × 131 × 1671
Prime Factorization of 17379
Prime factors of 17379 are 3, 1931. Prime factorization of 17379 in exponential form is:
17379 = 32 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 17368 and 17379.
LCM(17368,17379) = 23 × 131 × 1671 × 32 × 19311
LCM(17368,17379) = 301838472
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