Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4597 and 4603 the smallest integer that is 21159991 that is divisible by both numbers.
Least Common Multiple (LCM) of 4597 and 4603 is 21159991.
LCM(4597,4603) = 21159991
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 4597 and 4603. First we will calculate the prime factors of 4597 and 4603.
Prime Factorization of 4597
4597 | 4597 |
1 |
Prime factors of 4597 are 4597. Prime factorization of 4597 in exponential form is:
4597 = 45971
Prime Factorization of 4603
4603 | 4603 |
1 |
Prime factors of 4603 are 4603. Prime factorization of 4603 in exponential form is:
4603 = 46031
Now multiplying the highest exponent prime factors to calculate the LCM of 4597 and 4603.
LCM(4597,4603) = 45971×46031
LCM(4597,4603) = 21159991
Factors of 4597
List of positive integer factors of 4597 that divides 4597 without a remainder.
1, 4597
Factors of 4603
List of positive integer factors of 4603 that divides 4603 without a remainder.
1, 4603
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4597 and 4603, than apply into the LCM equation.
GCF(4597,4603) = 1
LCM(4597,4603) = ( 4597 × 4603) / 1
LCM(4597,4603) = 21159991 / 1
LCM(4597,4603) = 21159991
(i) The LCM of 4603 and 4597 is associative
LCM of 4597 and 4603 = LCM of 4603 and 4597
1. What is the LCM of 4597 and 4603?
Answer: LCM of 4597 and 4603 is 21159991.
2. What are the Factors of 4597?
Answer: Factors of 4597 are 1, 4597. There are 2 integers that are factors of 4597. The greatest factor of 4597 is 4597.
3. What are the Factors of 4603?
Answer: Factors of 4603 are 1, 4603. There are 2 integers that are factors of 4603. The greatest factor of 4603 is 4603.
4. How to Find the LCM of 4597 and 4603?
Answer:
Least Common Multiple of 4597 and 4603 = 21159991
Step 1: Find the prime factorization of 4597
4597 = 4597
Step 2: Find the prime factorization of 4603
4603 = 4603
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21159991 = 4597 x 4603
Step 4: Therefore, the least common multiple of 4597 and 4603 is 21159991.