What is the Least Common Multiple of 23654 and 23659?
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 23654 and 23659 is 559629986.
LCM(23654,23659) = 559629986
Least Common Multiple of 23654 and 23659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23654 and 23659, than apply into the LCM equation.
GCF(23654,23659) = 1
LCM(23654,23659) = ( 23654 × 23659) / 1
LCM(23654,23659) = 559629986 / 1
LCM(23654,23659) = 559629986
Least Common Multiple (LCM) of 23654 and 23659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23654 and 23659. First we will calculate the prime factors of 23654 and 23659.
Prime Factorization of 23654
Prime factors of 23654 are 2, 11827. Prime factorization of 23654 in exponential form is:
23654 = 21 × 118271
Prime Factorization of 23659
Prime factors of 23659 are 59, 401. Prime factorization of 23659 in exponential form is:
23659 = 591 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 23654 and 23659.
LCM(23654,23659) = 21 × 118271 × 591 × 4011
LCM(23654,23659) = 559629986
Related Least Common Multiples of 23654
- LCM of 23654 and 23658
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- LCM of 23654 and 23665
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Related Least Common Multiples of 23659
- LCM of 23659 and 23663
- LCM of 23659 and 23664
- LCM of 23659 and 23665
- LCM of 23659 and 23666
- LCM of 23659 and 23667
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- LCM of 23659 and 23670
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- LCM of 23659 and 23674
- LCM of 23659 and 23675
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