What is the Least Common Multiple of 23062 and 23067?
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 23062 and 23067 is 531971154.
LCM(23062,23067) = 531971154
Least Common Multiple of 23062 and 23067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23062 and 23067, than apply into the LCM equation.
GCF(23062,23067) = 1
LCM(23062,23067) = ( 23062 × 23067) / 1
LCM(23062,23067) = 531971154 / 1
LCM(23062,23067) = 531971154
Least Common Multiple (LCM) of 23062 and 23067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23062 and 23067. First we will calculate the prime factors of 23062 and 23067.
Prime Factorization of 23062
Prime factors of 23062 are 2, 13, 887. Prime factorization of 23062 in exponential form is:
23062 = 21 × 131 × 8871
Prime Factorization of 23067
Prime factors of 23067 are 3, 11, 233. Prime factorization of 23067 in exponential form is:
23067 = 32 × 111 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 23062 and 23067.
LCM(23062,23067) = 21 × 131 × 8871 × 32 × 111 × 2331
LCM(23062,23067) = 531971154
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