Least Common Multiple of 2448 and 2451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2448 and 2451 the smallest integer that is 2000016 that is divisible by both numbers.

Least Common Multiple (LCM) of 2448 and 2451 is 2000016.

LCM(2448,2451) = 2000016

LCM of 2448 and 2451

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

LCM of:
and

Least Common Multiple of 2448 and 2451

LCM of 2448 and 2451 is 2000016

Least common multiple can be found by multiplying the highest exponent prime factors of 2448 and 2451. First we will calculate the prime factors of 2448 and 2451.

Prime Factorization of 2448


2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 2448 are 2, 3,17. Prime factorization of 2448 in exponential form is:

2448 = 24×32×171

Prime Factorization of 2451


3 2451
19 817
43 43
1

Prime factors of 2451 are 3, 19,43. Prime factorization of 2451 in exponential form is:

2451 = 31×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2448 and 2451.

LCM(2448,2451) = 24×32×171×191×431
LCM(2448,2451) = 2000016

Factors of 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1, 3, 19, 43, 57, 129, 817, 2451

Least Common Multiple of 2448 and 2451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2448 and 2451, than apply into the LCM equation.

GCF(2448,2451) = 3
LCM(2448,2451) = ( 2448 × 2451) / 3
LCM(2448,2451) = 6000048 / 3
LCM(2448,2451) = 2000016

Properties of LCM 2448 and 2451

(i) The LCM of 2451 and 2448 is associative

LCM of 2448 and 2451 = LCM of 2451 and 2448

Related Least Common Multiples of 2448

Related Least Common Multiples of 2451

Frequently Asked Questions on LCM of 2448 and 2451

1. What is the LCM of 2448 and 2451?

Answer: LCM of 2448 and 2451 is 2000016.

2. What are the Factors of 2448?

Answer: Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. There are 30 integers that are factors of 2448. The greatest factor of 2448 is 2448.

3. What are the Factors of 2451?

Answer: Factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451. There are 8 integers that are factors of 2451. The greatest factor of 2451 is 2451.

4. How to Find the LCM of 2448 and 2451?

Answer:

Least Common Multiple of 2448 and 2451 = 2000016

Step 1: Find the prime factorization of 2448

2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 2451

2451 = 3 x 19 x 43

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

LCM = 2000016 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 2448 and 2451 is 2000016.