Least Common Multiple of 5657 and 5662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5657 and 5662 the smallest integer that is 32029934 that is divisible by both numbers.

Least Common Multiple (LCM) of 5657 and 5662 is 32029934.

LCM(5657,5662) = 32029934

LCM of 5657 and 5662

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

LCM of:
and

Least Common Multiple of 5657 and 5662

LCM of 5657 and 5662 is 32029934

Least common multiple can be found by multiplying the highest exponent prime factors of 5657 and 5662. First we will calculate the prime factors of 5657 and 5662.

Prime Factorization of 5657


5657 5657
1

Prime factors of 5657 are 5657. Prime factorization of 5657 in exponential form is:

5657 = 56571

Prime Factorization of 5662


2 5662
19 2831
149 149
1

Prime factors of 5662 are 2, 19,149. Prime factorization of 5662 in exponential form is:

5662 = 21×191×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5657 and 5662.

LCM(5657,5662) = 21×191×1491×56571
LCM(5657,5662) = 32029934

Factors of 5657

List of positive integer factors of 5657 that divides 5657 without a remainder.

1, 5657

Factors of 5662

List of positive integer factors of 5662 that divides 5662 without a remainder.

1, 2, 19, 38, 149, 298, 2831, 5662

Least Common Multiple of 5657 and 5662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5657 and 5662, than apply into the LCM equation.

GCF(5657,5662) = 1
LCM(5657,5662) = ( 5657 × 5662) / 1
LCM(5657,5662) = 32029934 / 1
LCM(5657,5662) = 32029934

Properties of LCM 5657 and 5662

(i) The LCM of 5662 and 5657 is associative

LCM of 5657 and 5662 = LCM of 5662 and 5657

Related Least Common Multiples of 5657

Related Least Common Multiples of 5662

Frequently Asked Questions on LCM of 5657 and 5662

1. What is the LCM of 5657 and 5662?

Answer: LCM of 5657 and 5662 is 32029934.

2. What are the Factors of 5657?

Answer: Factors of 5657 are 1, 5657. There are 2 integers that are factors of 5657. The greatest factor of 5657 is 5657.

3. What are the Factors of 5662?

Answer: Factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662. There are 8 integers that are factors of 5662. The greatest factor of 5662 is 5662.

4. How to Find the LCM of 5657 and 5662?

Answer:

Least Common Multiple of 5657 and 5662 = 32029934

Step 1: Find the prime factorization of 5657

5657 = 5657

Step 2: Find the prime factorization of 5662

5662 = 2 x 19 x 149

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

LCM = 32029934 = 2 x 19 x 149 x 5657

Step 4: Therefore, the least common multiple of 5657 and 5662 is 32029934.