Least Common Multiple of 2669 and 2677

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 2677 the smallest integer that is 7144913 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2677 is 7144913.

LCM(2669,2677) = 7144913

LCM of 2669 and 2677

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

LCM of:
and

Least Common Multiple of 2669 and 2677

LCM of 2669 and 2677 is 7144913

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2677. First we will calculate the prime factors of 2669 and 2677.

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 2677


2677 2677
1

Prime factors of 2677 are 2677. Prime factorization of 2677 in exponential form is:

2677 = 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2677.

LCM(2669,2677) = 171×1571×26771
LCM(2669,2677) = 7144913

Factors of 2669

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

1, 17, 157, 2669

Factors of 2677

List of positive integer factors of 2677 that divides 2677 without a remainder.

1, 2677

Least Common Multiple of 2669 and 2677 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 2677, than apply into the LCM equation.

GCF(2669,2677) = 1
LCM(2669,2677) = ( 2669 × 2677) / 1
LCM(2669,2677) = 7144913 / 1
LCM(2669,2677) = 7144913

Properties of LCM 2669 and 2677

(i) The LCM of 2677 and 2669 is associative

LCM of 2669 and 2677 = LCM of 2677 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2677

Frequently Asked Questions on LCM of 2669 and 2677

1. What is the LCM of 2669 and 2677?

Answer: LCM of 2669 and 2677 is 7144913.

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 2677?

Answer: Factors of 2677 are 1, 2677. There are 2 integers that are factors of 2677. The greatest factor of 2677 is 2677.

4. How to Find the LCM of 2669 and 2677?

Answer:

Least Common Multiple of 2669 and 2677 = 7144913

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2677

2677 = 2677

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

LCM = 7144913 = 17 x 157 x 2677

Step 4: Therefore, the least common multiple of 2669 and 2677 is 7144913.