Least Common Multiple of 7114 and 7122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7114 and 7122 the smallest integer that is 25332954 that is divisible by both numbers.

Least Common Multiple (LCM) of 7114 and 7122 is 25332954.

LCM(7114,7122) = 25332954

LCM of 7114 and 7122

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

LCM of:
and

Least Common Multiple of 7114 and 7122

LCM of 7114 and 7122 is 25332954

Least common multiple can be found by multiplying the highest exponent prime factors of 7114 and 7122. First we will calculate the prime factors of 7114 and 7122.

Prime Factorization of 7114


2 7114
3557 3557
1

Prime factors of 7114 are 2,3557. Prime factorization of 7114 in exponential form is:

7114 = 21×35571

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 7114 and 7122.

LCM(7114,7122) = 21×31×11871×35571
LCM(7114,7122) = 25332954

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1, 2, 3557, 7114

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

Least Common Multiple of 7114 and 7122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7114 and 7122, than apply into the LCM equation.

GCF(7114,7122) = 2
LCM(7114,7122) = ( 7114 × 7122) / 2
LCM(7114,7122) = 50665908 / 2
LCM(7114,7122) = 25332954

Properties of LCM 7114 and 7122

(i) The LCM of 7122 and 7114 is associative

LCM of 7114 and 7122 = LCM of 7122 and 7114

Related Least Common Multiples of 7114

Related Least Common Multiples of 7122

Frequently Asked Questions on LCM of 7114 and 7122

1. What is the LCM of 7114 and 7122?

Answer: LCM of 7114 and 7122 is 25332954.

2. What are the Factors of 7114?

Answer: Factors of 7114 are 1, 2, 3557, 7114. There are 4 integers that are factors of 7114. The greatest factor of 7114 is 7114.

3. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

4. How to Find the LCM of 7114 and 7122?

Answer:

Least Common Multiple of 7114 and 7122 = 25332954

Step 1: Find the prime factorization of 7114

7114 = 2 x 3557

Step 2: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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

LCM = 25332954 = 2 x 3 x 1187 x 3557

Step 4: Therefore, the least common multiple of 7114 and 7122 is 25332954.