Least Common Multiple of 5696 and 5701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5696 and 5701 the smallest integer that is 32472896 that is divisible by both numbers.

Least Common Multiple (LCM) of 5696 and 5701 is 32472896.

LCM(5696,5701) = 32472896

LCM of 5696 and 5701

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

LCM of:
and

Least Common Multiple of 5696 and 5701

LCM of 5696 and 5701 is 32472896

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5701. First we will calculate the prime factors of 5696 and 5701.

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

Prime Factorization of 5701


5701 5701
1

Prime factors of 5701 are 5701. Prime factorization of 5701 in exponential form is:

5701 = 57011

Now multiplying the highest exponent prime factors to calculate the LCM of 5696 and 5701.

LCM(5696,5701) = 26×891×57011
LCM(5696,5701) = 32472896

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

Factors of 5701

List of positive integer factors of 5701 that divides 5701 without a remainder.

1, 5701

Least Common Multiple of 5696 and 5701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5696 and 5701, than apply into the LCM equation.

GCF(5696,5701) = 1
LCM(5696,5701) = ( 5696 × 5701) / 1
LCM(5696,5701) = 32472896 / 1
LCM(5696,5701) = 32472896

Properties of LCM 5696 and 5701

(i) The LCM of 5701 and 5696 is associative

LCM of 5696 and 5701 = LCM of 5701 and 5696

Related Least Common Multiples of 5696

Related Least Common Multiples of 5701

Frequently Asked Questions on LCM of 5696 and 5701

1. What is the LCM of 5696 and 5701?

Answer: LCM of 5696 and 5701 is 32472896.

2. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

3. What are the Factors of 5701?

Answer: Factors of 5701 are 1, 5701. There are 2 integers that are factors of 5701. The greatest factor of 5701 is 5701.

4. How to Find the LCM of 5696 and 5701?

Answer:

Least Common Multiple of 5696 and 5701 = 32472896

Step 1: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 5701

5701 = 5701

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

LCM = 32472896 = 2 x 2 x 2 x 2 x 2 x 2 x 89 x 5701

Step 4: Therefore, the least common multiple of 5696 and 5701 is 32472896.