What is the Least Common Multiple of 18722 and 18733?
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 18722 and 18733 is 31883566.
LCM(18722,18733) = 31883566
Least Common Multiple of 18722 and 18733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18722 and 18733, than apply into the LCM equation.
GCF(18722,18733) = 11
LCM(18722,18733) = ( 18722 × 18733) / 11
LCM(18722,18733) = 350719226 / 11
LCM(18722,18733) = 31883566
Least Common Multiple (LCM) of 18722 and 18733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18722 and 18733. First we will calculate the prime factors of 18722 and 18733.
Prime Factorization of 18722
Prime factors of 18722 are 2, 11, 23, 37. Prime factorization of 18722 in exponential form is:
18722 = 21 × 111 × 231 × 371
Prime Factorization of 18733
Prime factors of 18733 are 11, 13, 131. Prime factorization of 18733 in exponential form is:
18733 = 111 × 131 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 18722 and 18733.
LCM(18722,18733) = 21 × 111 × 231 × 371 × 131 × 1311
LCM(18722,18733) = 31883566
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