What is the Least Common Multiple of 23033 and 23046?
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 23033 and 23046 is 530818518.
LCM(23033,23046) = 530818518
Least Common Multiple of 23033 and 23046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23033 and 23046, than apply into the LCM equation.
GCF(23033,23046) = 1
LCM(23033,23046) = ( 23033 × 23046) / 1
LCM(23033,23046) = 530818518 / 1
LCM(23033,23046) = 530818518
Least Common Multiple (LCM) of 23033 and 23046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23033 and 23046. First we will calculate the prime factors of 23033 and 23046.
Prime Factorization of 23033
Prime factors of 23033 are 31, 743. Prime factorization of 23033 in exponential form is:
23033 = 311 × 7431
Prime Factorization of 23046
Prime factors of 23046 are 2, 3, 23, 167. Prime factorization of 23046 in exponential form is:
23046 = 21 × 31 × 231 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 23033 and 23046.
LCM(23033,23046) = 311 × 7431 × 21 × 31 × 231 × 1671
LCM(23033,23046) = 530818518
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