Least Common Multiple of 2124 and 2129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2124 and 2129 the smallest integer that is 4521996 that is divisible by both numbers.

Least Common Multiple (LCM) of 2124 and 2129 is 4521996.

LCM(2124,2129) = 4521996

LCM of 2124 and 2129

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

LCM of:
and

Least Common Multiple of 2124 and 2129

LCM of 2124 and 2129 is 4521996

Least common multiple can be found by multiplying the highest exponent prime factors of 2124 and 2129. First we will calculate the prime factors of 2124 and 2129.

Prime Factorization of 2124


2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 2124 are 2, 3,59. Prime factorization of 2124 in exponential form is:

2124 = 22×32×591

Prime Factorization of 2129


2129 2129
1

Prime factors of 2129 are 2129. Prime factorization of 2129 in exponential form is:

2129 = 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 2124 and 2129.

LCM(2124,2129) = 22×32×591×21291
LCM(2124,2129) = 4521996

Factors of 2124

List of positive integer factors of 2124 that divides 2124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124

Factors of 2129

List of positive integer factors of 2129 that divides 2129 without a remainder.

1, 2129

Least Common Multiple of 2124 and 2129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2124 and 2129, than apply into the LCM equation.

GCF(2124,2129) = 1
LCM(2124,2129) = ( 2124 × 2129) / 1
LCM(2124,2129) = 4521996 / 1
LCM(2124,2129) = 4521996

Properties of LCM 2124 and 2129

(i) The LCM of 2129 and 2124 is associative

LCM of 2124 and 2129 = LCM of 2129 and 2124

Related Least Common Multiples of 2124

Related Least Common Multiples of 2129

Frequently Asked Questions on LCM of 2124 and 2129

1. What is the LCM of 2124 and 2129?

Answer: LCM of 2124 and 2129 is 4521996.

2. What are the Factors of 2124?

Answer: Factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124. There are 18 integers that are factors of 2124. The greatest factor of 2124 is 2124.

3. What are the Factors of 2129?

Answer: Factors of 2129 are 1, 2129. There are 2 integers that are factors of 2129. The greatest factor of 2129 is 2129.

4. How to Find the LCM of 2124 and 2129?

Answer:

Least Common Multiple of 2124 and 2129 = 4521996

Step 1: Find the prime factorization of 2124

2124 = 2 x 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 2129

2129 = 2129

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

LCM = 4521996 = 2 x 2 x 3 x 3 x 59 x 2129

Step 4: Therefore, the least common multiple of 2124 and 2129 is 4521996.