Least Common Multiple of 2669 and 2670

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 2670 the smallest integer that is 7126230 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2670 is 7126230.

LCM(2669,2670) = 7126230

LCM of 2669 and 2670

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

LCM of:
and

Least Common Multiple of 2669 and 2670

LCM of 2669 and 2670 is 7126230

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2670. First we will calculate the prime factors of 2669 and 2670.

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 2670


2 2670
3 1335
5 445
89 89
1

Prime factors of 2670 are 2, 3, 5,89. Prime factorization of 2670 in exponential form is:

2670 = 21×31×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2670.

LCM(2669,2670) = 21×31×51×171×891×1571
LCM(2669,2670) = 7126230

Factors of 2669

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

1, 17, 157, 2669

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670

Least Common Multiple of 2669 and 2670 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 2670, than apply into the LCM equation.

GCF(2669,2670) = 1
LCM(2669,2670) = ( 2669 × 2670) / 1
LCM(2669,2670) = 7126230 / 1
LCM(2669,2670) = 7126230

Properties of LCM 2669 and 2670

(i) The LCM of 2670 and 2669 is associative

LCM of 2669 and 2670 = LCM of 2670 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2670

Frequently Asked Questions on LCM of 2669 and 2670

1. What is the LCM of 2669 and 2670?

Answer: LCM of 2669 and 2670 is 7126230.

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 2670?

Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.

4. How to Find the LCM of 2669 and 2670?

Answer:

Least Common Multiple of 2669 and 2670 = 7126230

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2670

2670 = 2 x 3 x 5 x 89

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

LCM = 7126230 = 2 x 3 x 5 x 17 x 89 x 157

Step 4: Therefore, the least common multiple of 2669 and 2670 is 7126230.