What is the Least Common Multiple of 23043 and 23060?
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 23043 and 23060 is 531371580.
LCM(23043,23060) = 531371580
Least Common Multiple of 23043 and 23060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23043 and 23060, than apply into the LCM equation.
GCF(23043,23060) = 1
LCM(23043,23060) = ( 23043 × 23060) / 1
LCM(23043,23060) = 531371580 / 1
LCM(23043,23060) = 531371580
Least Common Multiple (LCM) of 23043 and 23060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23043 and 23060. First we will calculate the prime factors of 23043 and 23060.
Prime Factorization of 23043
Prime factors of 23043 are 3, 7681. Prime factorization of 23043 in exponential form is:
23043 = 31 × 76811
Prime Factorization of 23060
Prime factors of 23060 are 2, 5, 1153. Prime factorization of 23060 in exponential form is:
23060 = 22 × 51 × 11531
Now multiplying the highest exponent prime factors to calculate the LCM of 23043 and 23060.
LCM(23043,23060) = 31 × 76811 × 22 × 51 × 11531
LCM(23043,23060) = 531371580
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