Least Common Multiple of 7048 and 7055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7048 and 7055 the smallest integer that is 49723640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7048 and 7055 is 49723640.

LCM(7048,7055) = 49723640

LCM of 7048 and 7055

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

LCM of:
and

Least Common Multiple of 7048 and 7055

LCM of 7048 and 7055 is 49723640

Least common multiple can be found by multiplying the highest exponent prime factors of 7048 and 7055. First we will calculate the prime factors of 7048 and 7055.

Prime Factorization of 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Prime Factorization of 7055


5 7055
17 1411
83 83
1

Prime factors of 7055 are 5, 17,83. Prime factorization of 7055 in exponential form is:

7055 = 51×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7048 and 7055.

LCM(7048,7055) = 23×51×171×831×8811
LCM(7048,7055) = 49723640

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524, 7048

Factors of 7055

List of positive integer factors of 7055 that divides 7055 without a remainder.

1, 5, 17, 83, 85, 415, 1411, 7055

Least Common Multiple of 7048 and 7055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7048 and 7055, than apply into the LCM equation.

GCF(7048,7055) = 1
LCM(7048,7055) = ( 7048 × 7055) / 1
LCM(7048,7055) = 49723640 / 1
LCM(7048,7055) = 49723640

Properties of LCM 7048 and 7055

(i) The LCM of 7055 and 7048 is associative

LCM of 7048 and 7055 = LCM of 7055 and 7048

Related Least Common Multiples of 7048

Related Least Common Multiples of 7055

Frequently Asked Questions on LCM of 7048 and 7055

1. What is the LCM of 7048 and 7055?

Answer: LCM of 7048 and 7055 is 49723640.

2. What are the Factors of 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

3. What are the Factors of 7055?

Answer: Factors of 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055. There are 8 integers that are factors of 7055. The greatest factor of 7055 is 7055.

4. How to Find the LCM of 7048 and 7055?

Answer:

Least Common Multiple of 7048 and 7055 = 49723640

Step 1: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

Step 2: Find the prime factorization of 7055

7055 = 5 x 17 x 83

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

LCM = 49723640 = 2 x 2 x 2 x 5 x 17 x 83 x 881

Step 4: Therefore, the least common multiple of 7048 and 7055 is 49723640.