What is the Least Common Multiple of 18842 and 18851?
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 18842 and 18851 is 355190542.
LCM(18842,18851) = 355190542
Least Common Multiple of 18842 and 18851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18842 and 18851, than apply into the LCM equation.
GCF(18842,18851) = 1
LCM(18842,18851) = ( 18842 × 18851) / 1
LCM(18842,18851) = 355190542 / 1
LCM(18842,18851) = 355190542
Least Common Multiple (LCM) of 18842 and 18851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18842 and 18851. First we will calculate the prime factors of 18842 and 18851.
Prime Factorization of 18842
Prime factors of 18842 are 2, 9421. Prime factorization of 18842 in exponential form is:
18842 = 21 × 94211
Prime Factorization of 18851
Prime factors of 18851 are 7, 2693. Prime factorization of 18851 in exponential form is:
18851 = 71 × 26931
Now multiplying the highest exponent prime factors to calculate the LCM of 18842 and 18851.
LCM(18842,18851) = 21 × 94211 × 71 × 26931
LCM(18842,18851) = 355190542
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