Least Common Multiple of 2140 and 2147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2140 and 2147 the smallest integer that is 4594580 that is divisible by both numbers.

Least Common Multiple (LCM) of 2140 and 2147 is 4594580.

LCM(2140,2147) = 4594580

LCM of 2140 and 2147

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

LCM of:
and

Least Common Multiple of 2140 and 2147

LCM of 2140 and 2147 is 4594580

Least common multiple can be found by multiplying the highest exponent prime factors of 2140 and 2147. First we will calculate the prime factors of 2140 and 2147.

Prime Factorization of 2140


2 2140
2 1070
5 535
107 107
1

Prime factors of 2140 are 2, 5,107. Prime factorization of 2140 in exponential form is:

2140 = 22×51×1071

Prime Factorization of 2147


19 2147
113 113
1

Prime factors of 2147 are 19,113. Prime factorization of 2147 in exponential form is:

2147 = 191×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2140 and 2147.

LCM(2140,2147) = 22×51×191×1071×1131
LCM(2140,2147) = 4594580

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

Factors of 2147

List of positive integer factors of 2147 that divides 2147 without a remainder.

1, 19, 113, 2147

Least Common Multiple of 2140 and 2147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2140 and 2147, than apply into the LCM equation.

GCF(2140,2147) = 1
LCM(2140,2147) = ( 2140 × 2147) / 1
LCM(2140,2147) = 4594580 / 1
LCM(2140,2147) = 4594580

Properties of LCM 2140 and 2147

(i) The LCM of 2147 and 2140 is associative

LCM of 2140 and 2147 = LCM of 2147 and 2140

Related Least Common Multiples of 2140

Related Least Common Multiples of 2147

Frequently Asked Questions on LCM of 2140 and 2147

1. What is the LCM of 2140 and 2147?

Answer: LCM of 2140 and 2147 is 4594580.

2. What are the Factors of 2140?

Answer: Factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140. There are 12 integers that are factors of 2140. The greatest factor of 2140 is 2140.

3. What are the Factors of 2147?

Answer: Factors of 2147 are 1, 19, 113, 2147. There are 4 integers that are factors of 2147. The greatest factor of 2147 is 2147.

4. How to Find the LCM of 2140 and 2147?

Answer:

Least Common Multiple of 2140 and 2147 = 4594580

Step 1: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 2147

2147 = 19 x 113

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

LCM = 4594580 = 2 x 2 x 5 x 19 x 107 x 113

Step 4: Therefore, the least common multiple of 2140 and 2147 is 4594580.