Least Common Multiple of 2464 and 2472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2464 and 2472 the smallest integer that is 761376 that is divisible by both numbers.

Least Common Multiple (LCM) of 2464 and 2472 is 761376.

LCM(2464,2472) = 761376

LCM of 2464 and 2472

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

LCM of:
and

Least Common Multiple of 2464 and 2472

LCM of 2464 and 2472 is 761376

Least common multiple can be found by multiplying the highest exponent prime factors of 2464 and 2472. First we will calculate the prime factors of 2464 and 2472.

Prime Factorization of 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 2464 are 2, 7,11. Prime factorization of 2464 in exponential form is:

2464 = 25×71×111

Prime Factorization of 2472


2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 2472 are 2, 3,103. Prime factorization of 2472 in exponential form is:

2472 = 23×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2464 and 2472.

LCM(2464,2472) = 25×31×71×111×1031
LCM(2464,2472) = 761376

Factors of 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472

Least Common Multiple of 2464 and 2472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2464 and 2472, than apply into the LCM equation.

GCF(2464,2472) = 8
LCM(2464,2472) = ( 2464 × 2472) / 8
LCM(2464,2472) = 6091008 / 8
LCM(2464,2472) = 761376

Properties of LCM 2464 and 2472

(i) The LCM of 2472 and 2464 is associative

LCM of 2464 and 2472 = LCM of 2472 and 2464

Related Least Common Multiples of 2464

Related Least Common Multiples of 2472

Frequently Asked Questions on LCM of 2464 and 2472

1. What is the LCM of 2464 and 2472?

Answer: LCM of 2464 and 2472 is 761376.

2. What are the Factors of 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

3. What are the Factors of 2472?

Answer: Factors of 2472 are 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472. There are 16 integers that are factors of 2472. The greatest factor of 2472 is 2472.

4. How to Find the LCM of 2464 and 2472?

Answer:

Least Common Multiple of 2464 and 2472 = 761376

Step 1: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 2472

2472 = 2 x 2 x 2 x 3 x 103

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

LCM = 761376 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 2464 and 2472 is 761376.