Least Common Multiple of 7072 and 7079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7072 and 7079 the smallest integer that is 50062688 that is divisible by both numbers.

Least Common Multiple (LCM) of 7072 and 7079 is 50062688.

LCM(7072,7079) = 50062688

LCM of 7072 and 7079

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

LCM of:
and

Least Common Multiple of 7072 and 7079

LCM of 7072 and 7079 is 50062688

Least common multiple can be found by multiplying the highest exponent prime factors of 7072 and 7079. First we will calculate the prime factors of 7072 and 7079.

Prime Factorization of 7072


2 7072
2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 7072 are 2, 13,17. Prime factorization of 7072 in exponential form is:

7072 = 25×131×171

Prime Factorization of 7079


7079 7079
1

Prime factors of 7079 are 7079. Prime factorization of 7079 in exponential form is:

7079 = 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 7072 and 7079.

LCM(7072,7079) = 25×131×171×70791
LCM(7072,7079) = 50062688

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072

Factors of 7079

List of positive integer factors of 7079 that divides 7079 without a remainder.

1, 7079

Least Common Multiple of 7072 and 7079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7072 and 7079, than apply into the LCM equation.

GCF(7072,7079) = 1
LCM(7072,7079) = ( 7072 × 7079) / 1
LCM(7072,7079) = 50062688 / 1
LCM(7072,7079) = 50062688

Properties of LCM 7072 and 7079

(i) The LCM of 7079 and 7072 is associative

LCM of 7072 and 7079 = LCM of 7079 and 7072

Related Least Common Multiples of 7072

Related Least Common Multiples of 7079

Frequently Asked Questions on LCM of 7072 and 7079

1. What is the LCM of 7072 and 7079?

Answer: LCM of 7072 and 7079 is 50062688.

2. What are the Factors of 7072?

Answer: Factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. There are 24 integers that are factors of 7072. The greatest factor of 7072 is 7072.

3. What are the Factors of 7079?

Answer: Factors of 7079 are 1, 7079. There are 2 integers that are factors of 7079. The greatest factor of 7079 is 7079.

4. How to Find the LCM of 7072 and 7079?

Answer:

Least Common Multiple of 7072 and 7079 = 50062688

Step 1: Find the prime factorization of 7072

7072 = 2 x 2 x 2 x 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 7079

7079 = 7079

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

LCM = 50062688 = 2 x 2 x 2 x 2 x 2 x 13 x 17 x 7079

Step 4: Therefore, the least common multiple of 7072 and 7079 is 50062688.