Least Common Multiple of 2122 and 2123

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 2123 the smallest integer that is 4505006 that is divisible by both numbers.

Least Common Multiple (LCM) of 2122 and 2123 is 4505006.

LCM(2122,2123) = 4505006

LCM of 2122 and 2123

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

LCM of:
and

Least Common Multiple of 2122 and 2123

LCM of 2122 and 2123 is 4505006

Least common multiple can be found by multiplying the highest exponent prime factors of 2122 and 2123. First we will calculate the prime factors of 2122 and 2123.

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 2123


11 2123
193 193
1

Prime factors of 2123 are 11,193. Prime factorization of 2123 in exponential form is:

2123 = 111×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2122 and 2123.

LCM(2122,2123) = 21×111×1931×10611
LCM(2122,2123) = 4505006

Factors of 2122

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

1, 2, 1061, 2122

Factors of 2123

List of positive integer factors of 2123 that divides 2123 without a remainder.

1, 11, 193, 2123

Least Common Multiple of 2122 and 2123 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 2123, than apply into the LCM equation.

GCF(2122,2123) = 1
LCM(2122,2123) = ( 2122 × 2123) / 1
LCM(2122,2123) = 4505006 / 1
LCM(2122,2123) = 4505006

Properties of LCM 2122 and 2123

(i) The LCM of 2123 and 2122 is associative

LCM of 2122 and 2123 = LCM of 2123 and 2122

Related Least Common Multiples of 2122

Related Least Common Multiples of 2123

Frequently Asked Questions on LCM of 2122 and 2123

1. What is the LCM of 2122 and 2123?

Answer: LCM of 2122 and 2123 is 4505006.

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 2123?

Answer: Factors of 2123 are 1, 11, 193, 2123. There are 4 integers that are factors of 2123. The greatest factor of 2123 is 2123.

4. How to Find the LCM of 2122 and 2123?

Answer:

Least Common Multiple of 2122 and 2123 = 4505006

Step 1: Find the prime factorization of 2122

2122 = 2 x 1061

Step 2: Find the prime factorization of 2123

2123 = 11 x 193

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

LCM = 4505006 = 2 x 11 x 193 x 1061

Step 4: Therefore, the least common multiple of 2122 and 2123 is 4505006.