Least Common Multiple of 2445 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 2445 and 2451 the smallest integer that is 1997565 that is divisible by both numbers.

Least Common Multiple (LCM) of 2445 and 2451 is 1997565.

LCM(2445,2451) = 1997565

LCM of 2445 and 2451

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

LCM of:
and

Least Common Multiple of 2445 and 2451

LCM of 2445 and 2451 is 1997565

Least common multiple can be found by multiplying the highest exponent prime factors of 2445 and 2451. First we will calculate the prime factors of 2445 and 2451.

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 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 2445 and 2451.

LCM(2445,2451) = 31×51×191×431×1631
LCM(2445,2451) = 1997565

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 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 2445 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 2445 and 2451, than apply into the LCM equation.

GCF(2445,2451) = 3
LCM(2445,2451) = ( 2445 × 2451) / 3
LCM(2445,2451) = 5992695 / 3
LCM(2445,2451) = 1997565

Properties of LCM 2445 and 2451

(i) The LCM of 2451 and 2445 is associative

LCM of 2445 and 2451 = LCM of 2451 and 2445

Related Least Common Multiples of 2445

Related Least Common Multiples of 2451

Frequently Asked Questions on LCM of 2445 and 2451

1. What is the LCM of 2445 and 2451?

Answer: LCM of 2445 and 2451 is 1997565.

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 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 2445 and 2451?

Answer:

Least Common Multiple of 2445 and 2451 = 1997565

Step 1: Find the prime factorization of 2445

2445 = 3 x 5 x 163

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 = 1997565 = 3 x 5 x 19 x 43 x 163

Step 4: Therefore, the least common multiple of 2445 and 2451 is 1997565.