Least Common Multiple of 7113 and 7120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7113 and 7120 the smallest integer that is 50644560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7113 and 7120 is 50644560.

LCM(7113,7120) = 50644560

LCM of 7113 and 7120

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

LCM of:
and

Least Common Multiple of 7113 and 7120

LCM of 7113 and 7120 is 50644560

Least common multiple can be found by multiplying the highest exponent prime factors of 7113 and 7120. First we will calculate the prime factors of 7113 and 7120.

Prime Factorization of 7113


3 7113
2371 2371
1

Prime factors of 7113 are 3,2371. Prime factorization of 7113 in exponential form is:

7113 = 31×23711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7113 and 7120.

LCM(7113,7120) = 24×31×51×891×23711
LCM(7113,7120) = 50644560

Factors of 7113

List of positive integer factors of 7113 that divides 7113 without a remainder.

1, 3, 2371, 7113

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

Least Common Multiple of 7113 and 7120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7113 and 7120, than apply into the LCM equation.

GCF(7113,7120) = 1
LCM(7113,7120) = ( 7113 × 7120) / 1
LCM(7113,7120) = 50644560 / 1
LCM(7113,7120) = 50644560

Properties of LCM 7113 and 7120

(i) The LCM of 7120 and 7113 is associative

LCM of 7113 and 7120 = LCM of 7120 and 7113

Related Least Common Multiples of 7113

Related Least Common Multiples of 7120

Frequently Asked Questions on LCM of 7113 and 7120

1. What is the LCM of 7113 and 7120?

Answer: LCM of 7113 and 7120 is 50644560.

2. What are the Factors of 7113?

Answer: Factors of 7113 are 1, 3, 2371, 7113. There are 4 integers that are factors of 7113. The greatest factor of 7113 is 7113.

3. 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.

4. How to Find the LCM of 7113 and 7120?

Answer:

Least Common Multiple of 7113 and 7120 = 50644560

Step 1: Find the prime factorization of 7113

7113 = 3 x 2371

Step 2: Find the prime factorization of 7120

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

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

LCM = 50644560 = 2 x 2 x 2 x 2 x 3 x 5 x 89 x 2371

Step 4: Therefore, the least common multiple of 7113 and 7120 is 50644560.