Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 934 and 937 the smallest integer that is 875158 that is divisible by both numbers.
Least Common Multiple (LCM) of 934 and 937 is 875158.
LCM(934,937) = 875158
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 934 and 937. First we will calculate the prime factors of 934 and 937.
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
Prime Factorization of 937
937 | 937 |
1 |
Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:
937 = 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 937.
LCM(934,937) = 21×4671×9371
LCM(934,937) = 875158
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1, 937
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 937, than apply into the LCM equation.
GCF(934,937) = 1
LCM(934,937) = ( 934 × 937) / 1
LCM(934,937) = 875158 / 1
LCM(934,937) = 875158
(i) The LCM of 937 and 934 is associative
LCM of 934 and 937 = LCM of 937 and 934
1. What is the LCM of 934 and 937?
Answer: LCM of 934 and 937 is 875158.
2. 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.
3. What are the Factors of 937?
Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.
4. How to Find the LCM of 934 and 937?
Answer:
Least Common Multiple of 934 and 937 = 875158
Step 1: Find the prime factorization of 934
934 = 2 x 467
Step 2: Find the prime factorization of 937
937 = 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 875158 = 2 x 467 x 937
Step 4: Therefore, the least common multiple of 934 and 937 is 875158.