What is the Least Common Multiple of 22012 and 22026?
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 22012 and 22026 is 242418156.
LCM(22012,22026) = 242418156
Least Common Multiple of 22012 and 22026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22012 and 22026, than apply into the LCM equation.
GCF(22012,22026) = 2
LCM(22012,22026) = ( 22012 × 22026) / 2
LCM(22012,22026) = 484836312 / 2
LCM(22012,22026) = 242418156
Least Common Multiple (LCM) of 22012 and 22026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22012 and 22026. First we will calculate the prime factors of 22012 and 22026.
Prime Factorization of 22012
Prime factors of 22012 are 2, 5503. Prime factorization of 22012 in exponential form is:
22012 = 22 × 55031
Prime Factorization of 22026
Prime factors of 22026 are 2, 3, 3671. Prime factorization of 22026 in exponential form is:
22026 = 21 × 31 × 36711
Now multiplying the highest exponent prime factors to calculate the LCM of 22012 and 22026.
LCM(22012,22026) = 22 × 55031 × 31 × 36711
LCM(22012,22026) = 242418156
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