Least Common Multiple of 4456 and 4462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4456 and 4462 the smallest integer that is 9941336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4456 and 4462 is 9941336.

LCM(4456,4462) = 9941336

LCM of 4456 and 4462

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

LCM of:
and

Least Common Multiple of 4456 and 4462

LCM of 4456 and 4462 is 9941336

Least common multiple can be found by multiplying the highest exponent prime factors of 4456 and 4462. First we will calculate the prime factors of 4456 and 4462.

Prime Factorization of 4456


2 4456
2 2228
2 1114
557 557
1

Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:

4456 = 23×5571

Prime Factorization of 4462


2 4462
23 2231
97 97
1

Prime factors of 4462 are 2, 23,97. Prime factorization of 4462 in exponential form is:

4462 = 21×231×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4456 and 4462.

LCM(4456,4462) = 23×231×971×5571
LCM(4456,4462) = 9941336

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1, 2, 4, 8, 557, 1114, 2228, 4456

Factors of 4462

List of positive integer factors of 4462 that divides 4462 without a remainder.

1, 2, 23, 46, 97, 194, 2231, 4462

Least Common Multiple of 4456 and 4462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4456 and 4462, than apply into the LCM equation.

GCF(4456,4462) = 2
LCM(4456,4462) = ( 4456 × 4462) / 2
LCM(4456,4462) = 19882672 / 2
LCM(4456,4462) = 9941336

Properties of LCM 4456 and 4462

(i) The LCM of 4462 and 4456 is associative

LCM of 4456 and 4462 = LCM of 4462 and 4456

Related Least Common Multiples of 4456

Related Least Common Multiples of 4462

Frequently Asked Questions on LCM of 4456 and 4462

1. What is the LCM of 4456 and 4462?

Answer: LCM of 4456 and 4462 is 9941336.

2. What are the Factors of 4456?

Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.

3. What are the Factors of 4462?

Answer: Factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462. There are 8 integers that are factors of 4462. The greatest factor of 4462 is 4462.

4. How to Find the LCM of 4456 and 4462?

Answer:

Least Common Multiple of 4456 and 4462 = 9941336

Step 1: Find the prime factorization of 4456

4456 = 2 x 2 x 2 x 557

Step 2: Find the prime factorization of 4462

4462 = 2 x 23 x 97

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

LCM = 9941336 = 2 x 2 x 2 x 23 x 97 x 557

Step 4: Therefore, the least common multiple of 4456 and 4462 is 9941336.