What is the Least Common Multiple of 18320 and 18340?
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 18320 and 18340 is 16799440.
LCM(18320,18340) = 16799440
Least Common Multiple of 18320 and 18340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18320 and 18340, than apply into the LCM equation.
GCF(18320,18340) = 20
LCM(18320,18340) = ( 18320 × 18340) / 20
LCM(18320,18340) = 335988800 / 20
LCM(18320,18340) = 16799440
Least Common Multiple (LCM) of 18320 and 18340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18320 and 18340. First we will calculate the prime factors of 18320 and 18340.
Prime Factorization of 18320
Prime factors of 18320 are 2, 5, 229. Prime factorization of 18320 in exponential form is:
18320 = 24 × 51 × 2291
Prime Factorization of 18340
Prime factors of 18340 are 2, 5, 7, 131. Prime factorization of 18340 in exponential form is:
18340 = 22 × 51 × 71 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 18320 and 18340.
LCM(18320,18340) = 24 × 51 × 2291 × 71 × 1311
LCM(18320,18340) = 16799440
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