What is the Least Common Multiple of 10623 and 10631?
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 10623 and 10631 is 112933113.
LCM(10623,10631) = 112933113
Least Common Multiple of 10623 and 10631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10623 and 10631, than apply into the LCM equation.
GCF(10623,10631) = 1
LCM(10623,10631) = ( 10623 × 10631) / 1
LCM(10623,10631) = 112933113 / 1
LCM(10623,10631) = 112933113
Least Common Multiple (LCM) of 10623 and 10631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10623 and 10631. First we will calculate the prime factors of 10623 and 10631.
Prime Factorization of 10623
Prime factors of 10623 are 3, 3541. Prime factorization of 10623 in exponential form is:
10623 = 31 × 35411
Prime Factorization of 10631
Prime factors of 10631 are 10631. Prime factorization of 10631 in exponential form is:
10631 = 106311
Now multiplying the highest exponent prime factors to calculate the LCM of 10623 and 10631.
LCM(10623,10631) = 31 × 35411 × 106311
LCM(10623,10631) = 112933113
Related Least Common Multiples of 10623
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- LCM of 10623 and 10634
- LCM of 10623 and 10635
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Related Least Common Multiples of 10631
- LCM of 10631 and 10635
- LCM of 10631 and 10636
- LCM of 10631 and 10637
- LCM of 10631 and 10638
- LCM of 10631 and 10639
- LCM of 10631 and 10640
- LCM of 10631 and 10641
- LCM of 10631 and 10642
- LCM of 10631 and 10643
- LCM of 10631 and 10644
- LCM of 10631 and 10645
- LCM of 10631 and 10646
- LCM of 10631 and 10647
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