Least Common Multiple of 3120 and 3124

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 3124 the smallest integer that is 2436720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3120 and 3124 is 2436720.

LCM(3120,3124) = 2436720

LCM of 3120 and 3124

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

LCM of:
and

Least Common Multiple of 3120 and 3124

LCM of 3120 and 3124 is 2436720

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3124. First we will calculate the prime factors of 3120 and 3124.

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 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2, 11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3124.

LCM(3120,3124) = 24×31×51×111×131×711
LCM(3120,3124) = 2436720

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 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

Least Common Multiple of 3120 and 3124 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 3124, than apply into the LCM equation.

GCF(3120,3124) = 4
LCM(3120,3124) = ( 3120 × 3124) / 4
LCM(3120,3124) = 9746880 / 4
LCM(3120,3124) = 2436720

Properties of LCM 3120 and 3124

(i) The LCM of 3124 and 3120 is associative

LCM of 3120 and 3124 = LCM of 3124 and 3120

Related Least Common Multiples of 3120

Related Least Common Multiples of 3124

Frequently Asked Questions on LCM of 3120 and 3124

1. What is the LCM of 3120 and 3124?

Answer: LCM of 3120 and 3124 is 2436720.

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 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

4. How to Find the LCM of 3120 and 3124?

Answer:

Least Common Multiple of 3120 and 3124 = 2436720

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 3124

3124 = 2 x 2 x 11 x 71

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

LCM = 2436720 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 3120 and 3124 is 2436720.