Least Common Multiple of 2670 and 2671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2670 and 2671 the smallest integer that is 7131570 that is divisible by both numbers.

Least Common Multiple (LCM) of 2670 and 2671 is 7131570.

LCM(2670,2671) = 7131570

LCM of 2670 and 2671

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

LCM of:
and

Least Common Multiple of 2670 and 2671

LCM of 2670 and 2671 is 7131570

Least common multiple can be found by multiplying the highest exponent prime factors of 2670 and 2671. First we will calculate the prime factors of 2670 and 2671.

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

Prime Factorization of 2671


2671 2671
1

Prime factors of 2671 are 2671. Prime factorization of 2671 in exponential form is:

2671 = 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 2670 and 2671.

LCM(2670,2671) = 21×31×51×891×26711
LCM(2670,2671) = 7131570

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

Factors of 2671

List of positive integer factors of 2671 that divides 2671 without a remainder.

1, 2671

Least Common Multiple of 2670 and 2671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2670 and 2671, than apply into the LCM equation.

GCF(2670,2671) = 1
LCM(2670,2671) = ( 2670 × 2671) / 1
LCM(2670,2671) = 7131570 / 1
LCM(2670,2671) = 7131570

Properties of LCM 2670 and 2671

(i) The LCM of 2671 and 2670 is associative

LCM of 2670 and 2671 = LCM of 2671 and 2670

Related Least Common Multiples of 2670

Related Least Common Multiples of 2671

Frequently Asked Questions on LCM of 2670 and 2671

1. What is the LCM of 2670 and 2671?

Answer: LCM of 2670 and 2671 is 7131570.

2. 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.

3. What are the Factors of 2671?

Answer: Factors of 2671 are 1, 2671. There are 2 integers that are factors of 2671. The greatest factor of 2671 is 2671.

4. How to Find the LCM of 2670 and 2671?

Answer:

Least Common Multiple of 2670 and 2671 = 7131570

Step 1: Find the prime factorization of 2670

2670 = 2 x 3 x 5 x 89

Step 2: Find the prime factorization of 2671

2671 = 2671

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

LCM = 7131570 = 2 x 3 x 5 x 89 x 2671

Step 4: Therefore, the least common multiple of 2670 and 2671 is 7131570.