Least Common Multiple of 7063 and 7070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7063 and 7070 the smallest integer that is 7133630 that is divisible by both numbers.

Least Common Multiple (LCM) of 7063 and 7070 is 7133630.

LCM(7063,7070) = 7133630

LCM of 7063 and 7070

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

LCM of:
and

Least Common Multiple of 7063 and 7070

LCM of 7063 and 7070 is 7133630

Least common multiple can be found by multiplying the highest exponent prime factors of 7063 and 7070. First we will calculate the prime factors of 7063 and 7070.

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

Prime Factorization of 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7063 and 7070.

LCM(7063,7070) = 21×51×71×1011×10091
LCM(7063,7070) = 7133630

Factors of 7063

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

1, 7, 1009, 7063

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070

Least Common Multiple of 7063 and 7070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7063 and 7070, than apply into the LCM equation.

GCF(7063,7070) = 7
LCM(7063,7070) = ( 7063 × 7070) / 7
LCM(7063,7070) = 49935410 / 7
LCM(7063,7070) = 7133630

Properties of LCM 7063 and 7070

(i) The LCM of 7070 and 7063 is associative

LCM of 7063 and 7070 = LCM of 7070 and 7063

Related Least Common Multiples of 7063

Related Least Common Multiples of 7070

Frequently Asked Questions on LCM of 7063 and 7070

1. What is the LCM of 7063 and 7070?

Answer: LCM of 7063 and 7070 is 7133630.

2. 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.

3. What are the Factors of 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

4. How to Find the LCM of 7063 and 7070?

Answer:

Least Common Multiple of 7063 and 7070 = 7133630

Step 1: Find the prime factorization of 7063

7063 = 7 x 1009

Step 2: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

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

LCM = 7133630 = 2 x 5 x 7 x 101 x 1009

Step 4: Therefore, the least common multiple of 7063 and 7070 is 7133630.