What is the Least Common Multiple of 23035 and 23043?
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 23035 and 23043 is 530795505.
LCM(23035,23043) = 530795505
Least Common Multiple of 23035 and 23043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23035 and 23043, than apply into the LCM equation.
GCF(23035,23043) = 1
LCM(23035,23043) = ( 23035 × 23043) / 1
LCM(23035,23043) = 530795505 / 1
LCM(23035,23043) = 530795505
Least Common Multiple (LCM) of 23035 and 23043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23035 and 23043. First we will calculate the prime factors of 23035 and 23043.
Prime Factorization of 23035
Prime factors of 23035 are 5, 17, 271. Prime factorization of 23035 in exponential form is:
23035 = 51 × 171 × 2711
Prime Factorization of 23043
Prime factors of 23043 are 3, 7681. Prime factorization of 23043 in exponential form is:
23043 = 31 × 76811
Now multiplying the highest exponent prime factors to calculate the LCM of 23035 and 23043.
LCM(23035,23043) = 51 × 171 × 2711 × 31 × 76811
LCM(23035,23043) = 530795505
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