What is the Least Common Multiple of 22063 and 22083?
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 22063 and 22083 is 487217229.
LCM(22063,22083) = 487217229
Least Common Multiple of 22063 and 22083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22063 and 22083, than apply into the LCM equation.
GCF(22063,22083) = 1
LCM(22063,22083) = ( 22063 × 22083) / 1
LCM(22063,22083) = 487217229 / 1
LCM(22063,22083) = 487217229
Least Common Multiple (LCM) of 22063 and 22083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22063 and 22083. First we will calculate the prime factors of 22063 and 22083.
Prime Factorization of 22063
Prime factors of 22063 are 22063. Prime factorization of 22063 in exponential form is:
22063 = 220631
Prime Factorization of 22083
Prime factors of 22083 are 3, 17, 433. Prime factorization of 22083 in exponential form is:
22083 = 31 × 171 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 22063 and 22083.
LCM(22063,22083) = 220631 × 31 × 171 × 4331
LCM(22063,22083) = 487217229
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