What is the Least Common Multiple of 22026 and 22031?
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 22026 and 22031 is 485254806.
LCM(22026,22031) = 485254806
Least Common Multiple of 22026 and 22031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22026 and 22031, than apply into the LCM equation.
GCF(22026,22031) = 1
LCM(22026,22031) = ( 22026 × 22031) / 1
LCM(22026,22031) = 485254806 / 1
LCM(22026,22031) = 485254806
Least Common Multiple (LCM) of 22026 and 22031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22026 and 22031. First we will calculate the prime factors of 22026 and 22031.
Prime Factorization of 22026
Prime factors of 22026 are 2, 3, 3671. Prime factorization of 22026 in exponential form is:
22026 = 21 × 31 × 36711
Prime Factorization of 22031
Prime factors of 22031 are 22031. Prime factorization of 22031 in exponential form is:
22031 = 220311
Now multiplying the highest exponent prime factors to calculate the LCM of 22026 and 22031.
LCM(22026,22031) = 21 × 31 × 36711 × 220311
LCM(22026,22031) = 485254806
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