Least Common Multiple of 4460 and 4465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4460 and 4465 the smallest integer that is 3982780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4460 and 4465 is 3982780.

LCM(4460,4465) = 3982780

LCM of 4460 and 4465

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

LCM of:
and

Least Common Multiple of 4460 and 4465

LCM of 4460 and 4465 is 3982780

Least common multiple can be found by multiplying the highest exponent prime factors of 4460 and 4465. First we will calculate the prime factors of 4460 and 4465.

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2, 5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

Prime Factorization of 4465


5 4465
19 893
47 47
1

Prime factors of 4465 are 5, 19,47. Prime factorization of 4465 in exponential form is:

4465 = 51×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4460 and 4465.

LCM(4460,4465) = 22×51×191×471×2231
LCM(4460,4465) = 3982780

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1, 5, 19, 47, 95, 235, 893, 4465

Least Common Multiple of 4460 and 4465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4460 and 4465, than apply into the LCM equation.

GCF(4460,4465) = 5
LCM(4460,4465) = ( 4460 × 4465) / 5
LCM(4460,4465) = 19913900 / 5
LCM(4460,4465) = 3982780

Properties of LCM 4460 and 4465

(i) The LCM of 4465 and 4460 is associative

LCM of 4460 and 4465 = LCM of 4465 and 4460

Related Least Common Multiples of 4460

Related Least Common Multiples of 4465

Frequently Asked Questions on LCM of 4460 and 4465

1. What is the LCM of 4460 and 4465?

Answer: LCM of 4460 and 4465 is 3982780.

2. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

3. What are the Factors of 4465?

Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.

4. How to Find the LCM of 4460 and 4465?

Answer:

Least Common Multiple of 4460 and 4465 = 3982780

Step 1: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

Step 2: Find the prime factorization of 4465

4465 = 5 x 19 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 = 3982780 = 2 x 2 x 5 x 19 x 47 x 223

Step 4: Therefore, the least common multiple of 4460 and 4465 is 3982780.