What is the Least Common Multiple of 18406 and 18420?
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 18406 and 18420 is 169519260.
LCM(18406,18420) = 169519260
Least Common Multiple of 18406 and 18420 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18406 and 18420, than apply into the LCM equation.
GCF(18406,18420) = 2
LCM(18406,18420) = ( 18406 × 18420) / 2
LCM(18406,18420) = 339038520 / 2
LCM(18406,18420) = 169519260
Least Common Multiple (LCM) of 18406 and 18420 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18406 and 18420. First we will calculate the prime factors of 18406 and 18420.
Prime Factorization of 18406
Prime factors of 18406 are 2, 9203. Prime factorization of 18406 in exponential form is:
18406 = 21 × 92031
Prime Factorization of 18420
Prime factors of 18420 are 2, 3, 5, 307. Prime factorization of 18420 in exponential form is:
18420 = 22 × 31 × 51 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 18406 and 18420.
LCM(18406,18420) = 22 × 92031 × 31 × 51 × 3071
LCM(18406,18420) = 169519260
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