Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 929 and 934 the smallest integer that is 867686 that is divisible by both numbers.
Least Common Multiple (LCM) of 929 and 934 is 867686.
LCM(929,934) = 867686
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 929 and 934. First we will calculate the prime factors of 929 and 934.
Prime Factorization of 929
929 | 929 |
1 |
Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:
929 = 9291
Prime Factorization of 934
2 | 934 |
467 | 467 |
1 |
Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:
934 = 21×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 934.
LCM(929,934) = 21×4671×9291
LCM(929,934) = 867686
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1, 929
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1, 2, 467, 934
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 929 and 934, than apply into the LCM equation.
GCF(929,934) = 1
LCM(929,934) = ( 929 × 934) / 1
LCM(929,934) = 867686 / 1
LCM(929,934) = 867686
(i) The LCM of 934 and 929 is associative
LCM of 929 and 934 = LCM of 934 and 929
1. What is the LCM of 929 and 934?
Answer: LCM of 929 and 934 is 867686.
2. What are the Factors of 929?
Answer: Factors of 929 are 1, 929. There are 2 integers that are factors of 929. The greatest factor of 929 is 929.
3. What are the Factors of 934?
Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.
4. How to Find the LCM of 929 and 934?
Answer:
Least Common Multiple of 929 and 934 = 867686
Step 1: Find the prime factorization of 929
929 = 929
Step 2: Find the prime factorization of 934
934 = 2 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 867686 = 2 x 467 x 929
Step 4: Therefore, the least common multiple of 929 and 934 is 867686.