What is the Least Common Multiple of 22054 and 22059?
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 22054 and 22059 is 486489186.
LCM(22054,22059) = 486489186
Least Common Multiple of 22054 and 22059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22054 and 22059, than apply into the LCM equation.
GCF(22054,22059) = 1
LCM(22054,22059) = ( 22054 × 22059) / 1
LCM(22054,22059) = 486489186 / 1
LCM(22054,22059) = 486489186
Least Common Multiple (LCM) of 22054 and 22059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22054 and 22059. First we will calculate the prime factors of 22054 and 22059.
Prime Factorization of 22054
Prime factors of 22054 are 2, 11027. Prime factorization of 22054 in exponential form is:
22054 = 21 × 110271
Prime Factorization of 22059
Prime factors of 22059 are 3, 19, 43. Prime factorization of 22059 in exponential form is:
22059 = 33 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 22054 and 22059.
LCM(22054,22059) = 21 × 110271 × 33 × 191 × 431
LCM(22054,22059) = 486489186
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