Least Common Multiple of 7554 and 7562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7554 and 7562 the smallest integer that is 28561674 that is divisible by both numbers.

Least Common Multiple (LCM) of 7554 and 7562 is 28561674.

LCM(7554,7562) = 28561674

LCM of 7554 and 7562

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

LCM of:
and

Least Common Multiple of 7554 and 7562

LCM of 7554 and 7562 is 28561674

Least common multiple can be found by multiplying the highest exponent prime factors of 7554 and 7562. First we will calculate the prime factors of 7554 and 7562.

Prime Factorization of 7554


2 7554
3 3777
1259 1259
1

Prime factors of 7554 are 2, 3,1259. Prime factorization of 7554 in exponential form is:

7554 = 21×31×12591

Prime Factorization of 7562


2 7562
19 3781
199 199
1

Prime factors of 7562 are 2, 19,199. Prime factorization of 7562 in exponential form is:

7562 = 21×191×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7554 and 7562.

LCM(7554,7562) = 21×31×191×1991×12591
LCM(7554,7562) = 28561674

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1, 2, 3, 6, 1259, 2518, 3777, 7554

Factors of 7562

List of positive integer factors of 7562 that divides 7562 without a remainder.

1, 2, 19, 38, 199, 398, 3781, 7562

Least Common Multiple of 7554 and 7562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7554 and 7562, than apply into the LCM equation.

GCF(7554,7562) = 2
LCM(7554,7562) = ( 7554 × 7562) / 2
LCM(7554,7562) = 57123348 / 2
LCM(7554,7562) = 28561674

Properties of LCM 7554 and 7562

(i) The LCM of 7562 and 7554 is associative

LCM of 7554 and 7562 = LCM of 7562 and 7554

Related Least Common Multiples of 7554

Related Least Common Multiples of 7562

Frequently Asked Questions on LCM of 7554 and 7562

1. What is the LCM of 7554 and 7562?

Answer: LCM of 7554 and 7562 is 28561674.

2. What are the Factors of 7554?

Answer: Factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554. There are 8 integers that are factors of 7554. The greatest factor of 7554 is 7554.

3. What are the Factors of 7562?

Answer: Factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562. There are 8 integers that are factors of 7562. The greatest factor of 7562 is 7562.

4. How to Find the LCM of 7554 and 7562?

Answer:

Least Common Multiple of 7554 and 7562 = 28561674

Step 1: Find the prime factorization of 7554

7554 = 2 x 3 x 1259

Step 2: Find the prime factorization of 7562

7562 = 2 x 19 x 199

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

LCM = 28561674 = 2 x 3 x 19 x 199 x 1259

Step 4: Therefore, the least common multiple of 7554 and 7562 is 28561674.