Least Common Multiple of 7122 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 7122 and 7127 the smallest integer that is 50758494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7122 and 7127 is 50758494.

LCM(7122,7127) = 50758494

LCM of 7122 and 7127

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

LCM of:
and

Least Common Multiple of 7122 and 7127

LCM of 7122 and 7127 is 50758494

Least common multiple can be found by multiplying the highest exponent prime factors of 7122 and 7127. First we will calculate the prime factors of 7122 and 7127.

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

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 7122 and 7127.

LCM(7122,7127) = 21×31×11871×71271
LCM(7122,7127) = 50758494

Factors of 7122

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

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

Factors of 7127

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

1, 7127

Least Common Multiple of 7122 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 7122 and 7127, than apply into the LCM equation.

GCF(7122,7127) = 1
LCM(7122,7127) = ( 7122 × 7127) / 1
LCM(7122,7127) = 50758494 / 1
LCM(7122,7127) = 50758494

Properties of LCM 7122 and 7127

(i) The LCM of 7127 and 7122 is associative

LCM of 7122 and 7127 = LCM of 7127 and 7122

Related Least Common Multiples of 7122

Related Least Common Multiples of 7127

Frequently Asked Questions on LCM of 7122 and 7127

1. What is the LCM of 7122 and 7127?

Answer: LCM of 7122 and 7127 is 50758494.

2. 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.

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 7122 and 7127?

Answer:

Least Common Multiple of 7122 and 7127 = 50758494

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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 = 50758494 = 2 x 3 x 1187 x 7127

Step 4: Therefore, the least common multiple of 7122 and 7127 is 50758494.