What is the Least Common Multiple of 20401 and 20406?
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 20401 and 20406 is 416302806.
LCM(20401,20406) = 416302806
Least Common Multiple of 20401 and 20406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20401 and 20406, than apply into the LCM equation.
GCF(20401,20406) = 1
LCM(20401,20406) = ( 20401 × 20406) / 1
LCM(20401,20406) = 416302806 / 1
LCM(20401,20406) = 416302806
Least Common Multiple (LCM) of 20401 and 20406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20401 and 20406. First we will calculate the prime factors of 20401 and 20406.
Prime Factorization of 20401
Prime factors of 20401 are 23, 887. Prime factorization of 20401 in exponential form is:
20401 = 231 × 8871
Prime Factorization of 20406
Prime factors of 20406 are 2, 3, 19, 179. Prime factorization of 20406 in exponential form is:
20406 = 21 × 31 × 191 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 20401 and 20406.
LCM(20401,20406) = 231 × 8871 × 21 × 31 × 191 × 1791
LCM(20401,20406) = 416302806
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