Least Common Multiple of 2122 and 2125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2122 and 2125 the smallest integer that is 4509250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2122 and 2125 is 4509250.

LCM(2122,2125) = 4509250

LCM of 2122 and 2125

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

LCM of:
and

Least Common Multiple of 2122 and 2125

LCM of 2122 and 2125 is 4509250

Least common multiple can be found by multiplying the highest exponent prime factors of 2122 and 2125. First we will calculate the prime factors of 2122 and 2125.

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

Prime Factorization of 2125


5 2125
5 425
5 85
17 17
1

Prime factors of 2125 are 5,17. Prime factorization of 2125 in exponential form is:

2125 = 53×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2122 and 2125.

LCM(2122,2125) = 21×53×171×10611
LCM(2122,2125) = 4509250

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1, 2, 1061, 2122

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1, 5, 17, 25, 85, 125, 425, 2125

Least Common Multiple of 2122 and 2125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2122 and 2125, than apply into the LCM equation.

GCF(2122,2125) = 1
LCM(2122,2125) = ( 2122 × 2125) / 1
LCM(2122,2125) = 4509250 / 1
LCM(2122,2125) = 4509250

Properties of LCM 2122 and 2125

(i) The LCM of 2125 and 2122 is associative

LCM of 2122 and 2125 = LCM of 2125 and 2122

Related Least Common Multiples of 2122

Related Least Common Multiples of 2125

Frequently Asked Questions on LCM of 2122 and 2125

1. What is the LCM of 2122 and 2125?

Answer: LCM of 2122 and 2125 is 4509250.

2. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

3. What are the Factors of 2125?

Answer: Factors of 2125 are 1, 5, 17, 25, 85, 125, 425, 2125. There are 8 integers that are factors of 2125. The greatest factor of 2125 is 2125.

4. How to Find the LCM of 2122 and 2125?

Answer:

Least Common Multiple of 2122 and 2125 = 4509250

Step 1: Find the prime factorization of 2122

2122 = 2 x 1061

Step 2: Find the prime factorization of 2125

2125 = 5 x 5 x 5 x 17

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

LCM = 4509250 = 2 x 5 x 5 x 5 x 17 x 1061

Step 4: Therefore, the least common multiple of 2122 and 2125 is 4509250.