Least Common Multiple of 5602 and 5608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5602 and 5608 the smallest integer that is 15708008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5602 and 5608 is 15708008.

LCM(5602,5608) = 15708008

LCM of 5602 and 5608

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

LCM of:
and

Least Common Multiple of 5602 and 5608

LCM of 5602 and 5608 is 15708008

Least common multiple can be found by multiplying the highest exponent prime factors of 5602 and 5608. First we will calculate the prime factors of 5602 and 5608.

Prime Factorization of 5602


2 5602
2801 2801
1

Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:

5602 = 21×28011

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 5602 and 5608.

LCM(5602,5608) = 23×7011×28011
LCM(5602,5608) = 15708008

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1, 2, 2801, 5602

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1, 2, 4, 8, 701, 1402, 2804, 5608

Least Common Multiple of 5602 and 5608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5602 and 5608, than apply into the LCM equation.

GCF(5602,5608) = 2
LCM(5602,5608) = ( 5602 × 5608) / 2
LCM(5602,5608) = 31416016 / 2
LCM(5602,5608) = 15708008

Properties of LCM 5602 and 5608

(i) The LCM of 5608 and 5602 is associative

LCM of 5602 and 5608 = LCM of 5608 and 5602

Related Least Common Multiples of 5602

Related Least Common Multiples of 5608

Frequently Asked Questions on LCM of 5602 and 5608

1. What is the LCM of 5602 and 5608?

Answer: LCM of 5602 and 5608 is 15708008.

2. What are the Factors of 5602?

Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.

3. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

4. How to Find the LCM of 5602 and 5608?

Answer:

Least Common Multiple of 5602 and 5608 = 15708008

Step 1: Find the prime factorization of 5602

5602 = 2 x 2801

Step 2: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

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

LCM = 15708008 = 2 x 2 x 2 x 701 x 2801

Step 4: Therefore, the least common multiple of 5602 and 5608 is 15708008.