Least Common Multiple of 8453 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 8453 and 8460 the smallest integer that is 71512380 that is divisible by both numbers.

Least Common Multiple (LCM) of 8453 and 8460 is 71512380.

LCM(8453,8460) = 71512380

LCM of 8453 and 8460

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

LCM of:
and

Least Common Multiple of 8453 and 8460

LCM of 8453 and 8460 is 71512380

Least common multiple can be found by multiplying the highest exponent prime factors of 8453 and 8460. First we will calculate the prime factors of 8453 and 8460.

Prime Factorization of 8453


79 8453
107 107
1

Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:

8453 = 791×1071

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 8453 and 8460.

LCM(8453,8460) = 22×32×51×471×791×1071
LCM(8453,8460) = 71512380

Factors of 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1, 79, 107, 8453

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 8453 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 8453 and 8460, than apply into the LCM equation.

GCF(8453,8460) = 1
LCM(8453,8460) = ( 8453 × 8460) / 1
LCM(8453,8460) = 71512380 / 1
LCM(8453,8460) = 71512380

Properties of LCM 8453 and 8460

(i) The LCM of 8460 and 8453 is associative

LCM of 8453 and 8460 = LCM of 8460 and 8453

Related Least Common Multiples of 8453

Related Least Common Multiples of 8460

Frequently Asked Questions on LCM of 8453 and 8460

1. What is the LCM of 8453 and 8460?

Answer: LCM of 8453 and 8460 is 71512380.

2. What are the Factors of 8453?

Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.

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 8453 and 8460?

Answer:

Least Common Multiple of 8453 and 8460 = 71512380

Step 1: Find the prime factorization of 8453

8453 = 79 x 107

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 = 71512380 = 2 x 2 x 3 x 3 x 5 x 47 x 79 x 107

Step 4: Therefore, the least common multiple of 8453 and 8460 is 71512380.