What is the Least Common Multiple of 18353 and 18364?
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 18353 and 18364 is 337034492.
LCM(18353,18364) = 337034492
Least Common Multiple of 18353 and 18364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18353 and 18364, than apply into the LCM equation.
GCF(18353,18364) = 1
LCM(18353,18364) = ( 18353 × 18364) / 1
LCM(18353,18364) = 337034492 / 1
LCM(18353,18364) = 337034492
Least Common Multiple (LCM) of 18353 and 18364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18353 and 18364. First we will calculate the prime factors of 18353 and 18364.
Prime Factorization of 18353
Prime factors of 18353 are 18353. Prime factorization of 18353 in exponential form is:
18353 = 183531
Prime Factorization of 18364
Prime factors of 18364 are 2, 4591. Prime factorization of 18364 in exponential form is:
18364 = 22 × 45911
Now multiplying the highest exponent prime factors to calculate the LCM of 18353 and 18364.
LCM(18353,18364) = 183531 × 22 × 45911
LCM(18353,18364) = 337034492
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