What is the Least Common Multiple of 22663 and 22669?
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 22663 and 22669 is 513747547.
LCM(22663,22669) = 513747547
Least Common Multiple of 22663 and 22669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22663 and 22669, than apply into the LCM equation.
GCF(22663,22669) = 1
LCM(22663,22669) = ( 22663 × 22669) / 1
LCM(22663,22669) = 513747547 / 1
LCM(22663,22669) = 513747547
Least Common Multiple (LCM) of 22663 and 22669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22663 and 22669. First we will calculate the prime factors of 22663 and 22669.
Prime Factorization of 22663
Prime factors of 22663 are 131, 173. Prime factorization of 22663 in exponential form is:
22663 = 1311 × 1731
Prime Factorization of 22669
Prime factors of 22669 are 22669. Prime factorization of 22669 in exponential form is:
22669 = 226691
Now multiplying the highest exponent prime factors to calculate the LCM of 22663 and 22669.
LCM(22663,22669) = 1311 × 1731 × 226691
LCM(22663,22669) = 513747547
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