Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 598 and 601 the smallest integer that is 359398 that is divisible by both numbers.
Least Common Multiple (LCM) of 598 and 601 is 359398.
LCM(598,601) = 359398
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 598 and 601. First we will calculate the prime factors of 598 and 601.
Prime Factorization of 598
2 | 598 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 598 are 2, 13,23. Prime factorization of 598 in exponential form is:
598 = 21×131×231
Prime Factorization of 601
601 | 601 |
1 |
Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:
601 = 6011
Now multiplying the highest exponent prime factors to calculate the LCM of 598 and 601.
LCM(598,601) = 21×131×231×6011
LCM(598,601) = 359398
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1, 601
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 598 and 601, than apply into the LCM equation.
GCF(598,601) = 1
LCM(598,601) = ( 598 × 601) / 1
LCM(598,601) = 359398 / 1
LCM(598,601) = 359398
(i) The LCM of 601 and 598 is associative
LCM of 598 and 601 = LCM of 601 and 598
1. What is the LCM of 598 and 601?
Answer: LCM of 598 and 601 is 359398.
2. What are the Factors of 598?
Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.
3. What are the Factors of 601?
Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.
4. How to Find the LCM of 598 and 601?
Answer:
Least Common Multiple of 598 and 601 = 359398
Step 1: Find the prime factorization of 598
598 = 2 x 13 x 23
Step 2: Find the prime factorization of 601
601 = 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 359398 = 2 x 13 x 23 x 601
Step 4: Therefore, the least common multiple of 598 and 601 is 359398.