What is the Least Common Multiple of 22027 and 22045?
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 22027 and 22045 is 485585215.
LCM(22027,22045) = 485585215
Least Common Multiple of 22027 and 22045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22027 and 22045, than apply into the LCM equation.
GCF(22027,22045) = 1
LCM(22027,22045) = ( 22027 × 22045) / 1
LCM(22027,22045) = 485585215 / 1
LCM(22027,22045) = 485585215
Least Common Multiple (LCM) of 22027 and 22045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22027 and 22045. First we will calculate the prime factors of 22027 and 22045.
Prime Factorization of 22027
Prime factors of 22027 are 22027. Prime factorization of 22027 in exponential form is:
22027 = 220271
Prime Factorization of 22045
Prime factors of 22045 are 5, 4409. Prime factorization of 22045 in exponential form is:
22045 = 51 × 44091
Now multiplying the highest exponent prime factors to calculate the LCM of 22027 and 22045.
LCM(22027,22045) = 220271 × 51 × 44091
LCM(22027,22045) = 485585215
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