What is the Least Common Multiple of 22286 and 22300?
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 22286 and 22300 is 248488900.
LCM(22286,22300) = 248488900
Least Common Multiple of 22286 and 22300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22286 and 22300, than apply into the LCM equation.
GCF(22286,22300) = 2
LCM(22286,22300) = ( 22286 × 22300) / 2
LCM(22286,22300) = 496977800 / 2
LCM(22286,22300) = 248488900
Least Common Multiple (LCM) of 22286 and 22300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22286 and 22300. First we will calculate the prime factors of 22286 and 22300.
Prime Factorization of 22286
Prime factors of 22286 are 2, 11, 1013. Prime factorization of 22286 in exponential form is:
22286 = 21 × 111 × 10131
Prime Factorization of 22300
Prime factors of 22300 are 2, 5, 223. Prime factorization of 22300 in exponential form is:
22300 = 22 × 52 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 22286 and 22300.
LCM(22286,22300) = 22 × 111 × 10131 × 52 × 2231
LCM(22286,22300) = 248488900
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