What is the Least Common Multiple of 18315 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 18315 and 18320 is 67106160.
LCM(18315,18320) = 67106160
Least Common Multiple of 18315 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 18315 and 18320, than apply into the LCM equation.
GCF(18315,18320) = 5
LCM(18315,18320) = ( 18315 × 18320) / 5
LCM(18315,18320) = 335530800 / 5
LCM(18315,18320) = 67106160
Least Common Multiple (LCM) of 18315 and 18320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18315 and 18320. First we will calculate the prime factors of 18315 and 18320.
Prime Factorization of 18315
Prime factors of 18315 are 3, 5, 11, 37. Prime factorization of 18315 in exponential form is:
18315 = 32 × 51 × 111 × 371
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 18315 and 18320.
LCM(18315,18320) = 32 × 51 × 111 × 371 × 24 × 2291
LCM(18315,18320) = 67106160
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