Least Common Multiple of 2445 and 2448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2445 and 2448 the smallest integer that is 1995120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2445 and 2448 is 1995120.

LCM(2445,2448) = 1995120

LCM of 2445 and 2448

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

LCM of:
and

Least Common Multiple of 2445 and 2448

LCM of 2445 and 2448 is 1995120

Least common multiple can be found by multiplying the highest exponent prime factors of 2445 and 2448. First we will calculate the prime factors of 2445 and 2448.

Prime Factorization of 2445


3 2445
5 815
163 163
1

Prime factors of 2445 are 3, 5,163. Prime factorization of 2445 in exponential form is:

2445 = 31×51×1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2445 and 2448.

LCM(2445,2448) = 24×32×51×171×1631
LCM(2445,2448) = 1995120

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1, 3, 5, 15, 163, 489, 815, 2445

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

Least Common Multiple of 2445 and 2448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2445 and 2448, than apply into the LCM equation.

GCF(2445,2448) = 3
LCM(2445,2448) = ( 2445 × 2448) / 3
LCM(2445,2448) = 5985360 / 3
LCM(2445,2448) = 1995120

Properties of LCM 2445 and 2448

(i) The LCM of 2448 and 2445 is associative

LCM of 2445 and 2448 = LCM of 2448 and 2445

Related Least Common Multiples of 2445

Related Least Common Multiples of 2448

Frequently Asked Questions on LCM of 2445 and 2448

1. What is the LCM of 2445 and 2448?

Answer: LCM of 2445 and 2448 is 1995120.

2. What are the Factors of 2445?

Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.

3. 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.

4. How to Find the LCM of 2445 and 2448?

Answer:

Least Common Multiple of 2445 and 2448 = 1995120

Step 1: Find the prime factorization of 2445

2445 = 3 x 5 x 163

Step 2: Find the prime factorization of 2448

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

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

LCM = 1995120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 163

Step 4: Therefore, the least common multiple of 2445 and 2448 is 1995120.