What is the Least Common Multiple of 22133 and 22150?
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 22133 and 22150 is 490245950.
LCM(22133,22150) = 490245950
Least Common Multiple of 22133 and 22150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22133 and 22150, than apply into the LCM equation.
GCF(22133,22150) = 1
LCM(22133,22150) = ( 22133 × 22150) / 1
LCM(22133,22150) = 490245950 / 1
LCM(22133,22150) = 490245950
Least Common Multiple (LCM) of 22133 and 22150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22133 and 22150. First we will calculate the prime factors of 22133 and 22150.
Prime Factorization of 22133
Prime factors of 22133 are 22133. Prime factorization of 22133 in exponential form is:
22133 = 221331
Prime Factorization of 22150
Prime factors of 22150 are 2, 5, 443. Prime factorization of 22150 in exponential form is:
22150 = 21 × 52 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 22133 and 22150.
LCM(22133,22150) = 221331 × 21 × 52 × 4431
LCM(22133,22150) = 490245950
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