Least Common Multiple of 5668 and 5672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5668 and 5672 the smallest integer that is 8037224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5668 and 5672 is 8037224.

LCM(5668,5672) = 8037224

LCM of 5668 and 5672

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

LCM of:
and

Least Common Multiple of 5668 and 5672

LCM of 5668 and 5672 is 8037224

Least common multiple can be found by multiplying the highest exponent prime factors of 5668 and 5672. First we will calculate the prime factors of 5668 and 5672.

Prime Factorization of 5668


2 5668
2 2834
13 1417
109 109
1

Prime factors of 5668 are 2, 13,109. Prime factorization of 5668 in exponential form is:

5668 = 22×131×1091

Prime Factorization of 5672


2 5672
2 2836
2 1418
709 709
1

Prime factors of 5672 are 2,709. Prime factorization of 5672 in exponential form is:

5672 = 23×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 5668 and 5672.

LCM(5668,5672) = 23×131×1091×7091
LCM(5668,5672) = 8037224

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

Factors of 5672

List of positive integer factors of 5672 that divides 5672 without a remainder.

1, 2, 4, 8, 709, 1418, 2836, 5672

Least Common Multiple of 5668 and 5672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5668 and 5672, than apply into the LCM equation.

GCF(5668,5672) = 4
LCM(5668,5672) = ( 5668 × 5672) / 4
LCM(5668,5672) = 32148896 / 4
LCM(5668,5672) = 8037224

Properties of LCM 5668 and 5672

(i) The LCM of 5672 and 5668 is associative

LCM of 5668 and 5672 = LCM of 5672 and 5668

Related Least Common Multiples of 5668

Related Least Common Multiples of 5672

Frequently Asked Questions on LCM of 5668 and 5672

1. What is the LCM of 5668 and 5672?

Answer: LCM of 5668 and 5672 is 8037224.

2. What are the Factors of 5668?

Answer: Factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668. There are 12 integers that are factors of 5668. The greatest factor of 5668 is 5668.

3. What are the Factors of 5672?

Answer: Factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672. There are 8 integers that are factors of 5672. The greatest factor of 5672 is 5672.

4. How to Find the LCM of 5668 and 5672?

Answer:

Least Common Multiple of 5668 and 5672 = 8037224

Step 1: Find the prime factorization of 5668

5668 = 2 x 2 x 13 x 109

Step 2: Find the prime factorization of 5672

5672 = 2 x 2 x 2 x 709

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

LCM = 8037224 = 2 x 2 x 2 x 13 x 109 x 709

Step 4: Therefore, the least common multiple of 5668 and 5672 is 8037224.