Least Common Multiple of 2669 and 2672

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 2672 the smallest integer that is 7131568 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2672 is 7131568.

LCM(2669,2672) = 7131568

LCM of 2669 and 2672

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

LCM of:
and

Least Common Multiple of 2669 and 2672

LCM of 2669 and 2672 is 7131568

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2672. First we will calculate the prime factors of 2669 and 2672.

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 2672


2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 2672 are 2,167. Prime factorization of 2672 in exponential form is:

2672 = 24×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2672.

LCM(2669,2672) = 24×171×1571×1671
LCM(2669,2672) = 7131568

Factors of 2669

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

1, 17, 157, 2669

Factors of 2672

List of positive integer factors of 2672 that divides 2672 without a remainder.

1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672

Least Common Multiple of 2669 and 2672 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 2672, than apply into the LCM equation.

GCF(2669,2672) = 1
LCM(2669,2672) = ( 2669 × 2672) / 1
LCM(2669,2672) = 7131568 / 1
LCM(2669,2672) = 7131568

Properties of LCM 2669 and 2672

(i) The LCM of 2672 and 2669 is associative

LCM of 2669 and 2672 = LCM of 2672 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2672

Frequently Asked Questions on LCM of 2669 and 2672

1. What is the LCM of 2669 and 2672?

Answer: LCM of 2669 and 2672 is 7131568.

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 2672?

Answer: Factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672. There are 10 integers that are factors of 2672. The greatest factor of 2672 is 2672.

4. How to Find the LCM of 2669 and 2672?

Answer:

Least Common Multiple of 2669 and 2672 = 7131568

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2672

2672 = 2 x 2 x 2 x 2 x 167

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

LCM = 7131568 = 2 x 2 x 2 x 2 x 17 x 157 x 167

Step 4: Therefore, the least common multiple of 2669 and 2672 is 7131568.