What is the Least Common Multiple of 18302 and 18320?
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 18302 and 18320 is 167646320.
LCM(18302,18320) = 167646320
Least Common Multiple of 18302 and 18320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18302 and 18320, than apply into the LCM equation.
GCF(18302,18320) = 2
LCM(18302,18320) = ( 18302 × 18320) / 2
LCM(18302,18320) = 335292640 / 2
LCM(18302,18320) = 167646320
Least Common Multiple (LCM) of 18302 and 18320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18302 and 18320. First we will calculate the prime factors of 18302 and 18320.
Prime Factorization of 18302
Prime factors of 18302 are 2, 9151. Prime factorization of 18302 in exponential form is:
18302 = 21 × 91511
Prime Factorization of 18320
Prime factors of 18320 are 2, 5, 229. Prime factorization of 18320 in exponential form is:
18320 = 24 × 51 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 18302 and 18320.
LCM(18302,18320) = 24 × 91511 × 51 × 2291
LCM(18302,18320) = 167646320
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