What is the Least Common Multiple of 22697 and 22703?
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 22697 and 22703 is 515289991.
LCM(22697,22703) = 515289991
Least Common Multiple of 22697 and 22703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22697 and 22703, than apply into the LCM equation.
GCF(22697,22703) = 1
LCM(22697,22703) = ( 22697 × 22703) / 1
LCM(22697,22703) = 515289991 / 1
LCM(22697,22703) = 515289991
Least Common Multiple (LCM) of 22697 and 22703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22697 and 22703. First we will calculate the prime factors of 22697 and 22703.
Prime Factorization of 22697
Prime factors of 22697 are 22697. Prime factorization of 22697 in exponential form is:
22697 = 226971
Prime Factorization of 22703
Prime factors of 22703 are 73, 311. Prime factorization of 22703 in exponential form is:
22703 = 731 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 22697 and 22703.
LCM(22697,22703) = 226971 × 731 × 3111
LCM(22697,22703) = 515289991
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