What is the Least Common Multiple of 22233 and 22238?
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 22233 and 22238 is 494417454.
LCM(22233,22238) = 494417454
Least Common Multiple of 22233 and 22238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22233 and 22238, than apply into the LCM equation.
GCF(22233,22238) = 1
LCM(22233,22238) = ( 22233 × 22238) / 1
LCM(22233,22238) = 494417454 / 1
LCM(22233,22238) = 494417454
Least Common Multiple (LCM) of 22233 and 22238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22233 and 22238. First we will calculate the prime factors of 22233 and 22238.
Prime Factorization of 22233
Prime factors of 22233 are 3, 7411. Prime factorization of 22233 in exponential form is:
22233 = 31 × 74111
Prime Factorization of 22238
Prime factors of 22238 are 2, 11119. Prime factorization of 22238 in exponential form is:
22238 = 21 × 111191
Now multiplying the highest exponent prime factors to calculate the LCM of 22233 and 22238.
LCM(22233,22238) = 31 × 74111 × 21 × 111191
LCM(22233,22238) = 494417454
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