Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 860 and 863 the smallest integer that is 742180 that is divisible by both numbers.
Least Common Multiple (LCM) of 860 and 863 is 742180.
LCM(860,863) = 742180
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 863. First we will calculate the prime factors of 860 and 863.
Prime Factorization of 860
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 860 are 2, 5,43. Prime factorization of 860 in exponential form is:
860 = 22×51×431
Prime Factorization of 863
863 | 863 |
1 |
Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:
863 = 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 863.
LCM(860,863) = 22×51×431×8631
LCM(860,863) = 742180
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1, 863
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 860 and 863, than apply into the LCM equation.
GCF(860,863) = 1
LCM(860,863) = ( 860 × 863) / 1
LCM(860,863) = 742180 / 1
LCM(860,863) = 742180
(i) The LCM of 863 and 860 is associative
LCM of 860 and 863 = LCM of 863 and 860
1. What is the LCM of 860 and 863?
Answer: LCM of 860 and 863 is 742180.
2. What are the Factors of 860?
Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.
3. What are the Factors of 863?
Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.
4. How to Find the LCM of 860 and 863?
Answer:
Least Common Multiple of 860 and 863 = 742180
Step 1: Find the prime factorization of 860
860 = 2 x 2 x 5 x 43
Step 2: Find the prime factorization of 863
863 = 863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 742180 = 2 x 2 x 5 x 43 x 863
Step 4: Therefore, the least common multiple of 860 and 863 is 742180.