What is the Least Common Multiple of 22779 and 22783?
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 22779 and 22783 is 518973957.
LCM(22779,22783) = 518973957
Least Common Multiple of 22779 and 22783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22779 and 22783, than apply into the LCM equation.
GCF(22779,22783) = 1
LCM(22779,22783) = ( 22779 × 22783) / 1
LCM(22779,22783) = 518973957 / 1
LCM(22779,22783) = 518973957
Least Common Multiple (LCM) of 22779 and 22783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22779 and 22783. First we will calculate the prime factors of 22779 and 22783.
Prime Factorization of 22779
Prime factors of 22779 are 3, 2531. Prime factorization of 22779 in exponential form is:
22779 = 32 × 25311
Prime Factorization of 22783
Prime factors of 22783 are 22783. Prime factorization of 22783 in exponential form is:
22783 = 227831
Now multiplying the highest exponent prime factors to calculate the LCM of 22779 and 22783.
LCM(22779,22783) = 32 × 25311 × 227831
LCM(22779,22783) = 518973957
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