What is the Least Common Multiple of 22066 and 22081?
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 22066 and 22081 is 487239346.
LCM(22066,22081) = 487239346
Least Common Multiple of 22066 and 22081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22066 and 22081, than apply into the LCM equation.
GCF(22066,22081) = 1
LCM(22066,22081) = ( 22066 × 22081) / 1
LCM(22066,22081) = 487239346 / 1
LCM(22066,22081) = 487239346
Least Common Multiple (LCM) of 22066 and 22081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22066 and 22081. First we will calculate the prime factors of 22066 and 22081.
Prime Factorization of 22066
Prime factors of 22066 are 2, 11, 17, 59. Prime factorization of 22066 in exponential form is:
22066 = 21 × 111 × 171 × 591
Prime Factorization of 22081
Prime factors of 22081 are 71, 311. Prime factorization of 22081 in exponential form is:
22081 = 711 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 22066 and 22081.
LCM(22066,22081) = 21 × 111 × 171 × 591 × 711 × 3111
LCM(22066,22081) = 487239346
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