Least Common Multiple of 7120 and 7127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7120 and 7127 the smallest integer that is 50744240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7120 and 7127 is 50744240.

LCM(7120,7127) = 50744240

LCM of 7120 and 7127

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

LCM of:
and

Least Common Multiple of 7120 and 7127

LCM of 7120 and 7127 is 50744240

Least common multiple can be found by multiplying the highest exponent prime factors of 7120 and 7127. First we will calculate the prime factors of 7120 and 7127.

Prime Factorization of 7120


2 7120
2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 7120 are 2, 5,89. Prime factorization of 7120 in exponential form is:

7120 = 24×51×891

Prime Factorization of 7127


7127 7127
1

Prime factors of 7127 are 7127. Prime factorization of 7127 in exponential form is:

7127 = 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 7120 and 7127.

LCM(7120,7127) = 24×51×891×71271
LCM(7120,7127) = 50744240

Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120

Factors of 7127

List of positive integer factors of 7127 that divides 7127 without a remainder.

1, 7127

Least Common Multiple of 7120 and 7127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7120 and 7127, than apply into the LCM equation.

GCF(7120,7127) = 1
LCM(7120,7127) = ( 7120 × 7127) / 1
LCM(7120,7127) = 50744240 / 1
LCM(7120,7127) = 50744240

Properties of LCM 7120 and 7127

(i) The LCM of 7127 and 7120 is associative

LCM of 7120 and 7127 = LCM of 7127 and 7120

Related Least Common Multiples of 7120

Related Least Common Multiples of 7127

Frequently Asked Questions on LCM of 7120 and 7127

1. What is the LCM of 7120 and 7127?

Answer: LCM of 7120 and 7127 is 50744240.

2. What are the Factors of 7120?

Answer: Factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120. There are 20 integers that are factors of 7120. The greatest factor of 7120 is 7120.

3. What are the Factors of 7127?

Answer: Factors of 7127 are 1, 7127. There are 2 integers that are factors of 7127. The greatest factor of 7127 is 7127.

4. How to Find the LCM of 7120 and 7127?

Answer:

Least Common Multiple of 7120 and 7127 = 50744240

Step 1: Find the prime factorization of 7120

7120 = 2 x 2 x 2 x 2 x 5 x 89

Step 2: Find the prime factorization of 7127

7127 = 7127

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

LCM = 50744240 = 2 x 2 x 2 x 2 x 5 x 89 x 7127

Step 4: Therefore, the least common multiple of 7120 and 7127 is 50744240.