What is the Least Common Multiple of 18510 and 18527?
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 18510 and 18527 is 342934770.
LCM(18510,18527) = 342934770
Least Common Multiple of 18510 and 18527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18510 and 18527, than apply into the LCM equation.
GCF(18510,18527) = 1
LCM(18510,18527) = ( 18510 × 18527) / 1
LCM(18510,18527) = 342934770 / 1
LCM(18510,18527) = 342934770
Least Common Multiple (LCM) of 18510 and 18527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18510 and 18527. First we will calculate the prime factors of 18510 and 18527.
Prime Factorization of 18510
Prime factors of 18510 are 2, 3, 5, 617. Prime factorization of 18510 in exponential form is:
18510 = 21 × 31 × 51 × 6171
Prime Factorization of 18527
Prime factors of 18527 are 97, 191. Prime factorization of 18527 in exponential form is:
18527 = 971 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 18510 and 18527.
LCM(18510,18527) = 21 × 31 × 51 × 6171 × 971 × 1911
LCM(18510,18527) = 342934770
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