Least Common Multiple of 7562 and 7567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7562 and 7567 the smallest integer that is 57221654 that is divisible by both numbers.

Least Common Multiple (LCM) of 7562 and 7567 is 57221654.

LCM(7562,7567) = 57221654

LCM of 7562 and 7567

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

LCM of:
and

Least Common Multiple of 7562 and 7567

LCM of 7562 and 7567 is 57221654

Least common multiple can be found by multiplying the highest exponent prime factors of 7562 and 7567. First we will calculate the prime factors of 7562 and 7567.

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

Prime Factorization of 7567


7 7567
23 1081
47 47
1

Prime factors of 7567 are 7, 23,47. Prime factorization of 7567 in exponential form is:

7567 = 71×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7562 and 7567.

LCM(7562,7567) = 21×71×191×231×471×1991
LCM(7562,7567) = 57221654

Factors of 7562

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

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

Factors of 7567

List of positive integer factors of 7567 that divides 7567 without a remainder.

1, 7, 23, 47, 161, 329, 1081, 7567

Least Common Multiple of 7562 and 7567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7562 and 7567, than apply into the LCM equation.

GCF(7562,7567) = 1
LCM(7562,7567) = ( 7562 × 7567) / 1
LCM(7562,7567) = 57221654 / 1
LCM(7562,7567) = 57221654

Properties of LCM 7562 and 7567

(i) The LCM of 7567 and 7562 is associative

LCM of 7562 and 7567 = LCM of 7567 and 7562

Related Least Common Multiples of 7562

Related Least Common Multiples of 7567

Frequently Asked Questions on LCM of 7562 and 7567

1. What is the LCM of 7562 and 7567?

Answer: LCM of 7562 and 7567 is 57221654.

2. 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.

3. What are the Factors of 7567?

Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.

4. How to Find the LCM of 7562 and 7567?

Answer:

Least Common Multiple of 7562 and 7567 = 57221654

Step 1: Find the prime factorization of 7562

7562 = 2 x 19 x 199

Step 2: Find the prime factorization of 7567

7567 = 7 x 23 x 47

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

LCM = 57221654 = 2 x 7 x 19 x 23 x 47 x 199

Step 4: Therefore, the least common multiple of 7562 and 7567 is 57221654.