What is the Least Common Multiple of 23605 and 23623?
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 23605 and 23623 is 557620915.
LCM(23605,23623) = 557620915
Least Common Multiple of 23605 and 23623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23605 and 23623, than apply into the LCM equation.
GCF(23605,23623) = 1
LCM(23605,23623) = ( 23605 × 23623) / 1
LCM(23605,23623) = 557620915 / 1
LCM(23605,23623) = 557620915
Least Common Multiple (LCM) of 23605 and 23623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23605 and 23623. First we will calculate the prime factors of 23605 and 23623.
Prime Factorization of 23605
Prime factors of 23605 are 5, 4721. Prime factorization of 23605 in exponential form is:
23605 = 51 × 47211
Prime Factorization of 23623
Prime factors of 23623 are 23623. Prime factorization of 23623 in exponential form is:
23623 = 236231
Now multiplying the highest exponent prime factors to calculate the LCM of 23605 and 23623.
LCM(23605,23623) = 51 × 47211 × 236231
LCM(23605,23623) = 557620915
Related Least Common Multiples of 23605
- LCM of 23605 and 23609
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- LCM of 23605 and 23614
- LCM of 23605 and 23615
- LCM of 23605 and 23616
- LCM of 23605 and 23617
- LCM of 23605 and 23618
- LCM of 23605 and 23619
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- LCM of 23605 and 23621
- LCM of 23605 and 23622
- LCM of 23605 and 23623
- LCM of 23605 and 23624
- LCM of 23605 and 23625
Related Least Common Multiples of 23623
- LCM of 23623 and 23627
- LCM of 23623 and 23628
- LCM of 23623 and 23629
- LCM of 23623 and 23630
- LCM of 23623 and 23631
- LCM of 23623 and 23632
- LCM of 23623 and 23633
- LCM of 23623 and 23634
- LCM of 23623 and 23635
- LCM of 23623 and 23636
- LCM of 23623 and 23637
- LCM of 23623 and 23638
- LCM of 23623 and 23639
- LCM of 23623 and 23640
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- LCM of 23623 and 23642
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