Least Common Multiple of 3120 and 3126

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 3126 the smallest integer that is 1625520 that is divisible by both numbers.

Least Common Multiple (LCM) of 3120 and 3126 is 1625520.

LCM(3120,3126) = 1625520

LCM of 3120 and 3126

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

LCM of:
and

Least Common Multiple of 3120 and 3126

LCM of 3120 and 3126 is 1625520

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3126. First we will calculate the prime factors of 3120 and 3126.

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 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2, 3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3126.

LCM(3120,3126) = 24×31×51×131×5211
LCM(3120,3126) = 1625520

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 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1, 2, 3, 6, 521, 1042, 1563, 3126

Least Common Multiple of 3120 and 3126 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 3126, than apply into the LCM equation.

GCF(3120,3126) = 6
LCM(3120,3126) = ( 3120 × 3126) / 6
LCM(3120,3126) = 9753120 / 6
LCM(3120,3126) = 1625520

Properties of LCM 3120 and 3126

(i) The LCM of 3126 and 3120 is associative

LCM of 3120 and 3126 = LCM of 3126 and 3120

Related Least Common Multiples of 3120

Related Least Common Multiples of 3126

Frequently Asked Questions on LCM of 3120 and 3126

1. What is the LCM of 3120 and 3126?

Answer: LCM of 3120 and 3126 is 1625520.

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 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

4. How to Find the LCM of 3120 and 3126?

Answer:

Least Common Multiple of 3120 and 3126 = 1625520

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 3126

3126 = 2 x 3 x 521

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

LCM = 1625520 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 521

Step 4: Therefore, the least common multiple of 3120 and 3126 is 1625520.