Least Common Multiple of 2672 and 2678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2672 and 2678 the smallest integer that is 3577808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2672 and 2678 is 3577808.

LCM(2672,2678) = 3577808

LCM of 2672 and 2678

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

LCM of:
and

Least Common Multiple of 2672 and 2678

LCM of 2672 and 2678 is 3577808

Least common multiple can be found by multiplying the highest exponent prime factors of 2672 and 2678. First we will calculate the prime factors of 2672 and 2678.

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

Prime Factorization of 2678


2 2678
13 1339
103 103
1

Prime factors of 2678 are 2, 13,103. Prime factorization of 2678 in exponential form is:

2678 = 21×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2672 and 2678.

LCM(2672,2678) = 24×131×1031×1671
LCM(2672,2678) = 3577808

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

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339, 2678

Least Common Multiple of 2672 and 2678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2672 and 2678, than apply into the LCM equation.

GCF(2672,2678) = 2
LCM(2672,2678) = ( 2672 × 2678) / 2
LCM(2672,2678) = 7155616 / 2
LCM(2672,2678) = 3577808

Properties of LCM 2672 and 2678

(i) The LCM of 2678 and 2672 is associative

LCM of 2672 and 2678 = LCM of 2678 and 2672

Related Least Common Multiples of 2672

Related Least Common Multiples of 2678

Frequently Asked Questions on LCM of 2672 and 2678

1. What is the LCM of 2672 and 2678?

Answer: LCM of 2672 and 2678 is 3577808.

2. 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.

3. What are the Factors of 2678?

Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.

4. How to Find the LCM of 2672 and 2678?

Answer:

Least Common Multiple of 2672 and 2678 = 3577808

Step 1: Find the prime factorization of 2672

2672 = 2 x 2 x 2 x 2 x 167

Step 2: Find the prime factorization of 2678

2678 = 2 x 13 x 103

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

LCM = 3577808 = 2 x 2 x 2 x 2 x 13 x 103 x 167

Step 4: Therefore, the least common multiple of 2672 and 2678 is 3577808.