Least Common Multiple of 7055 and 7063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7055 and 7063 the smallest integer that is 49829465 that is divisible by both numbers.

Least Common Multiple (LCM) of 7055 and 7063 is 49829465.

LCM(7055,7063) = 49829465

LCM of 7055 and 7063

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

LCM of:
and

Least Common Multiple of 7055 and 7063

LCM of 7055 and 7063 is 49829465

Least common multiple can be found by multiplying the highest exponent prime factors of 7055 and 7063. First we will calculate the prime factors of 7055 and 7063.

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

Prime Factorization of 7063


7 7063
1009 1009
1

Prime factors of 7063 are 7,1009. Prime factorization of 7063 in exponential form is:

7063 = 71×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 7055 and 7063.

LCM(7055,7063) = 51×71×171×831×10091
LCM(7055,7063) = 49829465

Factors of 7055

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

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

Factors of 7063

List of positive integer factors of 7063 that divides 7063 without a remainder.

1, 7, 1009, 7063

Least Common Multiple of 7055 and 7063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7055 and 7063, than apply into the LCM equation.

GCF(7055,7063) = 1
LCM(7055,7063) = ( 7055 × 7063) / 1
LCM(7055,7063) = 49829465 / 1
LCM(7055,7063) = 49829465

Properties of LCM 7055 and 7063

(i) The LCM of 7063 and 7055 is associative

LCM of 7055 and 7063 = LCM of 7063 and 7055

Related Least Common Multiples of 7055

Related Least Common Multiples of 7063

Frequently Asked Questions on LCM of 7055 and 7063

1. What is the LCM of 7055 and 7063?

Answer: LCM of 7055 and 7063 is 49829465.

2. 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.

3. What are the Factors of 7063?

Answer: Factors of 7063 are 1, 7, 1009, 7063. There are 4 integers that are factors of 7063. The greatest factor of 7063 is 7063.

4. How to Find the LCM of 7055 and 7063?

Answer:

Least Common Multiple of 7055 and 7063 = 49829465

Step 1: Find the prime factorization of 7055

7055 = 5 x 17 x 83

Step 2: Find the prime factorization of 7063

7063 = 7 x 1009

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

LCM = 49829465 = 5 x 7 x 17 x 83 x 1009

Step 4: Therefore, the least common multiple of 7055 and 7063 is 49829465.