What is the Least Common Multiple of 18352 and 18362?
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 18352 and 18362 is 168489712.
LCM(18352,18362) = 168489712
Least Common Multiple of 18352 and 18362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18352 and 18362, than apply into the LCM equation.
GCF(18352,18362) = 2
LCM(18352,18362) = ( 18352 × 18362) / 2
LCM(18352,18362) = 336979424 / 2
LCM(18352,18362) = 168489712
Least Common Multiple (LCM) of 18352 and 18362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18352 and 18362. First we will calculate the prime factors of 18352 and 18362.
Prime Factorization of 18352
Prime factors of 18352 are 2, 31, 37. Prime factorization of 18352 in exponential form is:
18352 = 24 × 311 × 371
Prime Factorization of 18362
Prime factors of 18362 are 2, 9181. Prime factorization of 18362 in exponential form is:
18362 = 21 × 91811
Now multiplying the highest exponent prime factors to calculate the LCM of 18352 and 18362.
LCM(18352,18362) = 24 × 311 × 371 × 91811
LCM(18352,18362) = 168489712
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