What is the Least Common Multiple of 11835 and 11840?
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 11835 and 11840 is 28025280.
LCM(11835,11840) = 28025280
Least Common Multiple of 11835 and 11840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11835 and 11840, than apply into the LCM equation.
GCF(11835,11840) = 5
LCM(11835,11840) = ( 11835 × 11840) / 5
LCM(11835,11840) = 140126400 / 5
LCM(11835,11840) = 28025280
Least Common Multiple (LCM) of 11835 and 11840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11835 and 11840. First we will calculate the prime factors of 11835 and 11840.
Prime Factorization of 11835
Prime factors of 11835 are 3, 5, 263. Prime factorization of 11835 in exponential form is:
11835 = 32 × 51 × 2631
Prime Factorization of 11840
Prime factors of 11840 are 2, 5, 37. Prime factorization of 11840 in exponential form is:
11840 = 26 × 51 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 11835 and 11840.
LCM(11835,11840) = 32 × 51 × 2631 × 26 × 371
LCM(11835,11840) = 28025280
Related Least Common Multiples of 11835
- LCM of 11835 and 11839
- LCM of 11835 and 11840
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- LCM of 11835 and 11844
- LCM of 11835 and 11845
- LCM of 11835 and 11846
- LCM of 11835 and 11847
- LCM of 11835 and 11848
- LCM of 11835 and 11849
- LCM of 11835 and 11850
- LCM of 11835 and 11851
- LCM of 11835 and 11852
- LCM of 11835 and 11853
- LCM of 11835 and 11854
- LCM of 11835 and 11855
Related Least Common Multiples of 11840
- LCM of 11840 and 11844
- LCM of 11840 and 11845
- LCM of 11840 and 11846
- LCM of 11840 and 11847
- LCM of 11840 and 11848
- LCM of 11840 and 11849
- LCM of 11840 and 11850
- LCM of 11840 and 11851
- LCM of 11840 and 11852
- LCM of 11840 and 11853
- LCM of 11840 and 11854
- LCM of 11840 and 11855
- LCM of 11840 and 11856
- LCM of 11840 and 11857
- LCM of 11840 and 11858
- LCM of 11840 and 11859
- LCM of 11840 and 11860