Least Common Multiple of 3120 and 3125

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 3125 the smallest integer that is 1950000 that is divisible by both numbers.

Least Common Multiple (LCM) of 3120 and 3125 is 1950000.

LCM(3120,3125) = 1950000

LCM of 3120 and 3125

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

LCM of:
and

Least Common Multiple of 3120 and 3125

LCM of 3120 and 3125 is 1950000

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3125. First we will calculate the prime factors of 3120 and 3125.

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 3125


5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3125.

LCM(3120,3125) = 24×31×55×131
LCM(3120,3125) = 1950000

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 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1, 5, 25, 125, 625, 3125

Least Common Multiple of 3120 and 3125 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 3125, than apply into the LCM equation.

GCF(3120,3125) = 5
LCM(3120,3125) = ( 3120 × 3125) / 5
LCM(3120,3125) = 9750000 / 5
LCM(3120,3125) = 1950000

Properties of LCM 3120 and 3125

(i) The LCM of 3125 and 3120 is associative

LCM of 3120 and 3125 = LCM of 3125 and 3120

Related Least Common Multiples of 3120

Related Least Common Multiples of 3125

Frequently Asked Questions on LCM of 3120 and 3125

1. What is the LCM of 3120 and 3125?

Answer: LCM of 3120 and 3125 is 1950000.

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 3125?

Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.

4. How to Find the LCM of 3120 and 3125?

Answer:

Least Common Multiple of 3120 and 3125 = 1950000

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 3125

3125 = 5 x 5 x 5 x 5 x 5

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

LCM = 1950000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 3120 and 3125 is 1950000.