Least Common Multiple of 8758 and 8762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8758 and 8762 the smallest integer that is 38368798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8758 and 8762 is 38368798.

LCM(8758,8762) = 38368798

LCM of 8758 and 8762

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

LCM of:
and

Least Common Multiple of 8758 and 8762

LCM of 8758 and 8762 is 38368798

Least common multiple can be found by multiplying the highest exponent prime factors of 8758 and 8762. First we will calculate the prime factors of 8758 and 8762.

Prime Factorization of 8758


2 8758
29 4379
151 151
1

Prime factors of 8758 are 2, 29,151. Prime factorization of 8758 in exponential form is:

8758 = 21×291×1511

Prime Factorization of 8762


2 8762
13 4381
337 337
1

Prime factors of 8762 are 2, 13,337. Prime factorization of 8762 in exponential form is:

8762 = 21×131×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 8758 and 8762.

LCM(8758,8762) = 21×131×291×1511×3371
LCM(8758,8762) = 38368798

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1, 2, 29, 58, 151, 302, 4379, 8758

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1, 2, 13, 26, 337, 674, 4381, 8762

Least Common Multiple of 8758 and 8762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8758 and 8762, than apply into the LCM equation.

GCF(8758,8762) = 2
LCM(8758,8762) = ( 8758 × 8762) / 2
LCM(8758,8762) = 76737596 / 2
LCM(8758,8762) = 38368798

Properties of LCM 8758 and 8762

(i) The LCM of 8762 and 8758 is associative

LCM of 8758 and 8762 = LCM of 8762 and 8758

Related Least Common Multiples of 8758

Related Least Common Multiples of 8762

Frequently Asked Questions on LCM of 8758 and 8762

1. What is the LCM of 8758 and 8762?

Answer: LCM of 8758 and 8762 is 38368798.

2. What are the Factors of 8758?

Answer: Factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758. There are 8 integers that are factors of 8758. The greatest factor of 8758 is 8758.

3. What are the Factors of 8762?

Answer: Factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762. There are 8 integers that are factors of 8762. The greatest factor of 8762 is 8762.

4. How to Find the LCM of 8758 and 8762?

Answer:

Least Common Multiple of 8758 and 8762 = 38368798

Step 1: Find the prime factorization of 8758

8758 = 2 x 29 x 151

Step 2: Find the prime factorization of 8762

8762 = 2 x 13 x 337

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

LCM = 38368798 = 2 x 13 x 29 x 151 x 337

Step 4: Therefore, the least common multiple of 8758 and 8762 is 38368798.