What is the Least Common Multiple of 18315 and 18321?
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 18321 is 111849705.
LCM(18315,18321) = 111849705
Least Common Multiple of 18315 and 18321 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 18321, than apply into the LCM equation.
GCF(18315,18321) = 3
LCM(18315,18321) = ( 18315 × 18321) / 3
LCM(18315,18321) = 335549115 / 3
LCM(18315,18321) = 111849705
Least Common Multiple (LCM) of 18315 and 18321 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18315 and 18321. First we will calculate the prime factors of 18315 and 18321.
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 18321
Prime factors of 18321 are 3, 31, 197. Prime factorization of 18321 in exponential form is:
18321 = 31 × 311 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 18315 and 18321.
LCM(18315,18321) = 32 × 51 × 111 × 371 × 311 × 1971
LCM(18315,18321) = 111849705
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