Least Common Multiple of 3120 and 3127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3120 and 3127 the smallest integer that is 9756240 that is divisible by both numbers.

Least Common Multiple (LCM) of 3120 and 3127 is 9756240.

LCM(3120,3127) = 9756240

LCM of 3120 and 3127

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

LCM of:
and

Least Common Multiple of 3120 and 3127

LCM of 3120 and 3127 is 9756240

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3127. First we will calculate the prime factors of 3120 and 3127.

Prime Factorization of 3120


2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 3120 are 2, 3, 5,13. Prime factorization of 3120 in exponential form is:

3120 = 24×31×51×131

Prime Factorization of 3127


53 3127
59 59
1

Prime factors of 3127 are 53,59. Prime factorization of 3127 in exponential form is:

3127 = 531×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3127.

LCM(3120,3127) = 24×31×51×131×531×591
LCM(3120,3127) = 9756240

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120

Factors of 3127

List of positive integer factors of 3127 that divides 3127 without a remainder.

1, 53, 59, 3127

Least Common Multiple of 3120 and 3127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3120 and 3127, than apply into the LCM equation.

GCF(3120,3127) = 1
LCM(3120,3127) = ( 3120 × 3127) / 1
LCM(3120,3127) = 9756240 / 1
LCM(3120,3127) = 9756240

Properties of LCM 3120 and 3127

(i) The LCM of 3127 and 3120 is associative

LCM of 3120 and 3127 = LCM of 3127 and 3120

Related Least Common Multiples of 3120

Related Least Common Multiples of 3127

Frequently Asked Questions on LCM of 3120 and 3127

1. What is the LCM of 3120 and 3127?

Answer: LCM of 3120 and 3127 is 9756240.

2. What are the Factors of 3120?

Answer: Factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120. There are 40 integers that are factors of 3120. The greatest factor of 3120 is 3120.

3. What are the Factors of 3127?

Answer: Factors of 3127 are 1, 53, 59, 3127. There are 4 integers that are factors of 3127. The greatest factor of 3127 is 3127.

4. How to Find the LCM of 3120 and 3127?

Answer:

Least Common Multiple of 3120 and 3127 = 9756240

Step 1: Find the prime factorization of 3120

3120 = 2 x 2 x 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 3127

3127 = 53 x 59

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

LCM = 9756240 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 53 x 59

Step 4: Therefore, the least common multiple of 3120 and 3127 is 9756240.