Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 592 and 597 the smallest integer that is 353424 that is divisible by both numbers.
Least Common Multiple (LCM) of 592 and 597 is 353424.
LCM(592,597) = 353424
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 592 and 597. First we will calculate the prime factors of 592 and 597.
Prime Factorization of 592
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 592 are 2,37. Prime factorization of 592 in exponential form is:
592 = 24×371
Prime Factorization of 597
3 | 597 |
199 | 199 |
1 |
Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:
597 = 31×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 592 and 597.
LCM(592,597) = 24×31×371×1991
LCM(592,597) = 353424
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1, 3, 199, 597
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 592 and 597, than apply into the LCM equation.
GCF(592,597) = 1
LCM(592,597) = ( 592 × 597) / 1
LCM(592,597) = 353424 / 1
LCM(592,597) = 353424
(i) The LCM of 597 and 592 is associative
LCM of 592 and 597 = LCM of 597 and 592
1. What is the LCM of 592 and 597?
Answer: LCM of 592 and 597 is 353424.
2. What are the Factors of 592?
Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.
3. What are the Factors of 597?
Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.
4. How to Find the LCM of 592 and 597?
Answer:
Least Common Multiple of 592 and 597 = 353424
Step 1: Find the prime factorization of 592
592 = 2 x 2 x 2 x 2 x 37
Step 2: Find the prime factorization of 597
597 = 3 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 353424 = 2 x 2 x 2 x 2 x 3 x 37 x 199
Step 4: Therefore, the least common multiple of 592 and 597 is 353424.