Least Common Multiple of 2416 and 2424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2416 and 2424 the smallest integer that is 732048 that is divisible by both numbers.

Least Common Multiple (LCM) of 2416 and 2424 is 732048.

LCM(2416,2424) = 732048

LCM of 2416 and 2424

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

LCM of:
and

Least Common Multiple of 2416 and 2424

LCM of 2416 and 2424 is 732048

Least common multiple can be found by multiplying the highest exponent prime factors of 2416 and 2424. First we will calculate the prime factors of 2416 and 2424.

Prime Factorization of 2416


2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 2416 are 2,151. Prime factorization of 2416 in exponential form is:

2416 = 24×1511

Prime Factorization of 2424


2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 2424 are 2, 3,101. Prime factorization of 2424 in exponential form is:

2424 = 23×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2416 and 2424.

LCM(2416,2424) = 24×31×1011×1511
LCM(2416,2424) = 732048

Factors of 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

Least Common Multiple of 2416 and 2424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2416 and 2424, than apply into the LCM equation.

GCF(2416,2424) = 8
LCM(2416,2424) = ( 2416 × 2424) / 8
LCM(2416,2424) = 5856384 / 8
LCM(2416,2424) = 732048

Properties of LCM 2416 and 2424

(i) The LCM of 2424 and 2416 is associative

LCM of 2416 and 2424 = LCM of 2424 and 2416

Related Least Common Multiples of 2416

Related Least Common Multiples of 2424

Frequently Asked Questions on LCM of 2416 and 2424

1. What is the LCM of 2416 and 2424?

Answer: LCM of 2416 and 2424 is 732048.

2. What are the Factors of 2416?

Answer: Factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416. There are 10 integers that are factors of 2416. The greatest factor of 2416 is 2416.

3. What are the Factors of 2424?

Answer: Factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. There are 16 integers that are factors of 2424. The greatest factor of 2424 is 2424.

4. How to Find the LCM of 2416 and 2424?

Answer:

Least Common Multiple of 2416 and 2424 = 732048

Step 1: Find the prime factorization of 2416

2416 = 2 x 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 2424

2424 = 2 x 2 x 2 x 3 x 101

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

LCM = 732048 = 2 x 2 x 2 x 2 x 3 x 101 x 151

Step 4: Therefore, the least common multiple of 2416 and 2424 is 732048.