Least Common Multiple of 2412 and 2416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2412 and 2416 the smallest integer that is 1456848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2412 and 2416 is 1456848.

LCM(2412,2416) = 1456848

LCM of 2412 and 2416

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

LCM of:
and

Least Common Multiple of 2412 and 2416

LCM of 2412 and 2416 is 1456848

Least common multiple can be found by multiplying the highest exponent prime factors of 2412 and 2416. First we will calculate the prime factors of 2412 and 2416.

Prime Factorization of 2412


2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 2412 are 2, 3,67. Prime factorization of 2412 in exponential form is:

2412 = 22×32×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2412 and 2416.

LCM(2412,2416) = 24×32×671×1511
LCM(2412,2416) = 1456848

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412

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

Least Common Multiple of 2412 and 2416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2412 and 2416, than apply into the LCM equation.

GCF(2412,2416) = 4
LCM(2412,2416) = ( 2412 × 2416) / 4
LCM(2412,2416) = 5827392 / 4
LCM(2412,2416) = 1456848

Properties of LCM 2412 and 2416

(i) The LCM of 2416 and 2412 is associative

LCM of 2412 and 2416 = LCM of 2416 and 2412

Related Least Common Multiples of 2412

Related Least Common Multiples of 2416

Frequently Asked Questions on LCM of 2412 and 2416

1. What is the LCM of 2412 and 2416?

Answer: LCM of 2412 and 2416 is 1456848.

2. What are the Factors of 2412?

Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.

3. 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.

4. How to Find the LCM of 2412 and 2416?

Answer:

Least Common Multiple of 2412 and 2416 = 1456848

Step 1: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 2416

2416 = 2 x 2 x 2 x 2 x 151

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

LCM = 1456848 = 2 x 2 x 2 x 2 x 3 x 3 x 67 x 151

Step 4: Therefore, the least common multiple of 2412 and 2416 is 1456848.