Least Common Multiple of 8452 and 8460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8452 and 8460 the smallest integer that is 17875980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8452 and 8460 is 17875980.

LCM(8452,8460) = 17875980

LCM of 8452 and 8460

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

LCM of:
and

Least Common Multiple of 8452 and 8460

LCM of 8452 and 8460 is 17875980

Least common multiple can be found by multiplying the highest exponent prime factors of 8452 and 8460. First we will calculate the prime factors of 8452 and 8460.

Prime Factorization of 8452


2 8452
2 4226
2113 2113
1

Prime factors of 8452 are 2,2113. Prime factorization of 8452 in exponential form is:

8452 = 22×21131

Prime Factorization of 8460


2 8460
2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 8460 are 2, 3, 5,47. Prime factorization of 8460 in exponential form is:

8460 = 22×32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8452 and 8460.

LCM(8452,8460) = 22×32×51×471×21131
LCM(8452,8460) = 17875980

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1, 2, 4, 2113, 4226, 8452

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460

Least Common Multiple of 8452 and 8460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8452 and 8460, than apply into the LCM equation.

GCF(8452,8460) = 4
LCM(8452,8460) = ( 8452 × 8460) / 4
LCM(8452,8460) = 71503920 / 4
LCM(8452,8460) = 17875980

Properties of LCM 8452 and 8460

(i) The LCM of 8460 and 8452 is associative

LCM of 8452 and 8460 = LCM of 8460 and 8452

Related Least Common Multiples of 8452

Related Least Common Multiples of 8460

Frequently Asked Questions on LCM of 8452 and 8460

1. What is the LCM of 8452 and 8460?

Answer: LCM of 8452 and 8460 is 17875980.

2. What are the Factors of 8452?

Answer: Factors of 8452 are 1, 2, 4, 2113, 4226, 8452. There are 6 integers that are factors of 8452. The greatest factor of 8452 is 8452.

3. What are the Factors of 8460?

Answer: Factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460. There are 36 integers that are factors of 8460. The greatest factor of 8460 is 8460.

4. How to Find the LCM of 8452 and 8460?

Answer:

Least Common Multiple of 8452 and 8460 = 17875980

Step 1: Find the prime factorization of 8452

8452 = 2 x 2 x 2113

Step 2: Find the prime factorization of 8460

8460 = 2 x 2 x 3 x 3 x 5 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 = 17875980 = 2 x 2 x 3 x 3 x 5 x 47 x 2113

Step 4: Therefore, the least common multiple of 8452 and 8460 is 17875980.