Least Common Multiple of 2669 and 2676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2669 and 2676 the smallest integer that is 7142244 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2676 is 7142244.

LCM(2669,2676) = 7142244

LCM of 2669 and 2676

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

LCM of:
and

Least Common Multiple of 2669 and 2676

LCM of 2669 and 2676 is 7142244

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2676. First we will calculate the prime factors of 2669 and 2676.

Prime Factorization of 2669


17 2669
157 157
1

Prime factors of 2669 are 17,157. Prime factorization of 2669 in exponential form is:

2669 = 171×1571

Prime Factorization of 2676


2 2676
2 1338
3 669
223 223
1

Prime factors of 2676 are 2, 3,223. Prime factorization of 2676 in exponential form is:

2676 = 22×31×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2676.

LCM(2669,2676) = 22×31×171×1571×2231
LCM(2669,2676) = 7142244

Factors of 2669

List of positive integer factors of 2669 that divides 2669 without a remainder.

1, 17, 157, 2669

Factors of 2676

List of positive integer factors of 2676 that divides 2676 without a remainder.

1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676

Least Common Multiple of 2669 and 2676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2669 and 2676, than apply into the LCM equation.

GCF(2669,2676) = 1
LCM(2669,2676) = ( 2669 × 2676) / 1
LCM(2669,2676) = 7142244 / 1
LCM(2669,2676) = 7142244

Properties of LCM 2669 and 2676

(i) The LCM of 2676 and 2669 is associative

LCM of 2669 and 2676 = LCM of 2676 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2676

Frequently Asked Questions on LCM of 2669 and 2676

1. What is the LCM of 2669 and 2676?

Answer: LCM of 2669 and 2676 is 7142244.

2. What are the Factors of 2669?

Answer: Factors of 2669 are 1, 17, 157, 2669. There are 4 integers that are factors of 2669. The greatest factor of 2669 is 2669.

3. What are the Factors of 2676?

Answer: Factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676. There are 12 integers that are factors of 2676. The greatest factor of 2676 is 2676.

4. How to Find the LCM of 2669 and 2676?

Answer:

Least Common Multiple of 2669 and 2676 = 7142244

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2676

2676 = 2 x 2 x 3 x 223

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

LCM = 7142244 = 2 x 2 x 3 x 17 x 157 x 223

Step 4: Therefore, the least common multiple of 2669 and 2676 is 7142244.