What is the Least Common Multiple of 22033 and 22051?
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 22033 and 22051 is 485849683.
LCM(22033,22051) = 485849683
Least Common Multiple of 22033 and 22051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22033 and 22051, than apply into the LCM equation.
GCF(22033,22051) = 1
LCM(22033,22051) = ( 22033 × 22051) / 1
LCM(22033,22051) = 485849683 / 1
LCM(22033,22051) = 485849683
Least Common Multiple (LCM) of 22033 and 22051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22033 and 22051. First we will calculate the prime factors of 22033 and 22051.
Prime Factorization of 22033
Prime factors of 22033 are 11, 2003. Prime factorization of 22033 in exponential form is:
22033 = 111 × 20031
Prime Factorization of 22051
Prime factors of 22051 are 22051. Prime factorization of 22051 in exponential form is:
22051 = 220511
Now multiplying the highest exponent prime factors to calculate the LCM of 22033 and 22051.
LCM(22033,22051) = 111 × 20031 × 220511
LCM(22033,22051) = 485849683
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