Least Common Multiple of 3597 and 3598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3597 and 3598 the smallest integer that is 12942006 that is divisible by both numbers.

Least Common Multiple (LCM) of 3597 and 3598 is 12942006.

LCM(3597,3598) = 12942006

LCM of 3597 and 3598

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3597 and 3598

LCM of 3597 and 3598 is 12942006

Least common multiple can be found by multiplying the highest exponent prime factors of 3597 and 3598. First we will calculate the prime factors of 3597 and 3598.

Prime Factorization of 3597


3 3597
11 1199
109 109
1

Prime factors of 3597 are 3, 11,109. Prime factorization of 3597 in exponential form is:

3597 = 31×111×1091

Prime Factorization of 3598


2 3598
7 1799
257 257
1

Prime factors of 3598 are 2, 7,257. Prime factorization of 3598 in exponential form is:

3598 = 21×71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 3597 and 3598.

LCM(3597,3598) = 21×31×71×111×1091×2571
LCM(3597,3598) = 12942006

Factors of 3597

List of positive integer factors of 3597 that divides 3597 without a remainder.

1, 3, 11, 33, 109, 327, 1199, 3597

Factors of 3598

List of positive integer factors of 3598 that divides 3598 without a remainder.

1, 2, 7, 14, 257, 514, 1799, 3598

Least Common Multiple of 3597 and 3598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3597 and 3598, than apply into the LCM equation.

GCF(3597,3598) = 1
LCM(3597,3598) = ( 3597 × 3598) / 1
LCM(3597,3598) = 12942006 / 1
LCM(3597,3598) = 12942006

Properties of LCM 3597 and 3598

(i) The LCM of 3598 and 3597 is associative

LCM of 3597 and 3598 = LCM of 3598 and 3597

Related Least Common Multiples of 3597

Related Least Common Multiples of 3598

Frequently Asked Questions on LCM of 3597 and 3598

1. What is the LCM of 3597 and 3598?

Answer: LCM of 3597 and 3598 is 12942006.

2. What are the Factors of 3597?

Answer: Factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597. There are 8 integers that are factors of 3597. The greatest factor of 3597 is 3597.

3. What are the Factors of 3598?

Answer: Factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598. There are 8 integers that are factors of 3598. The greatest factor of 3598 is 3598.

4. How to Find the LCM of 3597 and 3598?

Answer:

Least Common Multiple of 3597 and 3598 = 12942006

Step 1: Find the prime factorization of 3597

3597 = 3 x 11 x 109

Step 2: Find the prime factorization of 3598

3598 = 2 x 7 x 257

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12942006 = 2 x 3 x 7 x 11 x 109 x 257

Step 4: Therefore, the least common multiple of 3597 and 3598 is 12942006.