Least Common Multiple of 2123 and 2127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2123 and 2127 the smallest integer that is 4515621 that is divisible by both numbers.

Least Common Multiple (LCM) of 2123 and 2127 is 4515621.

LCM(2123,2127) = 4515621

LCM of 2123 and 2127

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

LCM of:
and

Least Common Multiple of 2123 and 2127

LCM of 2123 and 2127 is 4515621

Least common multiple can be found by multiplying the highest exponent prime factors of 2123 and 2127. First we will calculate the prime factors of 2123 and 2127.

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

Prime Factorization of 2127


3 2127
709 709
1

Prime factors of 2127 are 3,709. Prime factorization of 2127 in exponential form is:

2127 = 31×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 2123 and 2127.

LCM(2123,2127) = 31×111×1931×7091
LCM(2123,2127) = 4515621

Factors of 2123

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

1, 11, 193, 2123

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1, 3, 709, 2127

Least Common Multiple of 2123 and 2127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2123 and 2127, than apply into the LCM equation.

GCF(2123,2127) = 1
LCM(2123,2127) = ( 2123 × 2127) / 1
LCM(2123,2127) = 4515621 / 1
LCM(2123,2127) = 4515621

Properties of LCM 2123 and 2127

(i) The LCM of 2127 and 2123 is associative

LCM of 2123 and 2127 = LCM of 2127 and 2123

Related Least Common Multiples of 2123

Related Least Common Multiples of 2127

Frequently Asked Questions on LCM of 2123 and 2127

1. What is the LCM of 2123 and 2127?

Answer: LCM of 2123 and 2127 is 4515621.

2. 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.

3. What are the Factors of 2127?

Answer: Factors of 2127 are 1, 3, 709, 2127. There are 4 integers that are factors of 2127. The greatest factor of 2127 is 2127.

4. How to Find the LCM of 2123 and 2127?

Answer:

Least Common Multiple of 2123 and 2127 = 4515621

Step 1: Find the prime factorization of 2123

2123 = 11 x 193

Step 2: Find the prime factorization of 2127

2127 = 3 x 709

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

LCM = 4515621 = 3 x 11 x 193 x 709

Step 4: Therefore, the least common multiple of 2123 and 2127 is 4515621.