What is the Least Common Multiple of 26823 and 26838?
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 26823 and 26838 is 239958558.
LCM(26823,26838) = 239958558
Least Common Multiple of 26823 and 26838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26823 and 26838, than apply into the LCM equation.
GCF(26823,26838) = 3
LCM(26823,26838) = ( 26823 × 26838) / 3
LCM(26823,26838) = 719875674 / 3
LCM(26823,26838) = 239958558
Least Common Multiple (LCM) of 26823 and 26838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26823 and 26838. First we will calculate the prime factors of 26823 and 26838.
Prime Factorization of 26823
Prime factors of 26823 are 3, 8941. Prime factorization of 26823 in exponential form is:
26823 = 31 × 89411
Prime Factorization of 26838
Prime factors of 26838 are 2, 3, 7, 71. Prime factorization of 26838 in exponential form is:
26838 = 21 × 33 × 71 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 26823 and 26838.
LCM(26823,26838) = 33 × 89411 × 21 × 71 × 711
LCM(26823,26838) = 239958558
Related Least Common Multiples of 26823
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Related Least Common Multiples of 26838
- LCM of 26838 and 26842
- LCM of 26838 and 26843
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- LCM of 26838 and 26854
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