Least Common Multiple of 2415 and 2420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2415 and 2420 the smallest integer that is 1168860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2415 and 2420 is 1168860.

LCM(2415,2420) = 1168860

LCM of 2415 and 2420

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

LCM of:
and

Least Common Multiple of 2415 and 2420

LCM of 2415 and 2420 is 1168860

Least common multiple can be found by multiplying the highest exponent prime factors of 2415 and 2420. First we will calculate the prime factors of 2415 and 2420.

Prime Factorization of 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

Prime Factorization of 2420


2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 2420 are 2, 5,11. Prime factorization of 2420 in exponential form is:

2420 = 22×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2415 and 2420.

LCM(2415,2420) = 22×31×51×71×112×231
LCM(2415,2420) = 1168860

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420

Least Common Multiple of 2415 and 2420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2415 and 2420, than apply into the LCM equation.

GCF(2415,2420) = 5
LCM(2415,2420) = ( 2415 × 2420) / 5
LCM(2415,2420) = 5844300 / 5
LCM(2415,2420) = 1168860

Properties of LCM 2415 and 2420

(i) The LCM of 2420 and 2415 is associative

LCM of 2415 and 2420 = LCM of 2420 and 2415

Related Least Common Multiples of 2415

Related Least Common Multiples of 2420

Frequently Asked Questions on LCM of 2415 and 2420

1. What is the LCM of 2415 and 2420?

Answer: LCM of 2415 and 2420 is 1168860.

2. What are the Factors of 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

3. What are the Factors of 2420?

Answer: Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. There are 18 integers that are factors of 2420. The greatest factor of 2420 is 2420.

4. How to Find the LCM of 2415 and 2420?

Answer:

Least Common Multiple of 2415 and 2420 = 1168860

Step 1: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

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

LCM = 1168860 = 2 x 2 x 3 x 5 x 7 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 2415 and 2420 is 1168860.