Least Common Multiple of 2669 and 2674

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 2674 the smallest integer that is 7136906 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2674 is 7136906.

LCM(2669,2674) = 7136906

LCM of 2669 and 2674

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

LCM of:
and

Least Common Multiple of 2669 and 2674

LCM of 2669 and 2674 is 7136906

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2674. First we will calculate the prime factors of 2669 and 2674.

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 2674


2 2674
7 1337
191 191
1

Prime factors of 2674 are 2, 7,191. Prime factorization of 2674 in exponential form is:

2674 = 21×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2674.

LCM(2669,2674) = 21×71×171×1571×1911
LCM(2669,2674) = 7136906

Factors of 2669

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

1, 17, 157, 2669

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1, 2, 7, 14, 191, 382, 1337, 2674

Least Common Multiple of 2669 and 2674 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 2674, than apply into the LCM equation.

GCF(2669,2674) = 1
LCM(2669,2674) = ( 2669 × 2674) / 1
LCM(2669,2674) = 7136906 / 1
LCM(2669,2674) = 7136906

Properties of LCM 2669 and 2674

(i) The LCM of 2674 and 2669 is associative

LCM of 2669 and 2674 = LCM of 2674 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2674

Frequently Asked Questions on LCM of 2669 and 2674

1. What is the LCM of 2669 and 2674?

Answer: LCM of 2669 and 2674 is 7136906.

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 2674?

Answer: Factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674. There are 8 integers that are factors of 2674. The greatest factor of 2674 is 2674.

4. How to Find the LCM of 2669 and 2674?

Answer:

Least Common Multiple of 2669 and 2674 = 7136906

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2674

2674 = 2 x 7 x 191

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

LCM = 7136906 = 2 x 7 x 17 x 157 x 191

Step 4: Therefore, the least common multiple of 2669 and 2674 is 7136906.