Least Common Multiple of 5672 and 5677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5672 and 5677 the smallest integer that is 32199944 that is divisible by both numbers.

Least Common Multiple (LCM) of 5672 and 5677 is 32199944.

LCM(5672,5677) = 32199944

LCM of 5672 and 5677

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

LCM of:
and

Least Common Multiple of 5672 and 5677

LCM of 5672 and 5677 is 32199944

Least common multiple can be found by multiplying the highest exponent prime factors of 5672 and 5677. First we will calculate the prime factors of 5672 and 5677.

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

Prime Factorization of 5677


7 5677
811 811
1

Prime factors of 5677 are 7,811. Prime factorization of 5677 in exponential form is:

5677 = 71×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 5672 and 5677.

LCM(5672,5677) = 23×71×7091×8111
LCM(5672,5677) = 32199944

Factors of 5672

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

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

Factors of 5677

List of positive integer factors of 5677 that divides 5677 without a remainder.

1, 7, 811, 5677

Least Common Multiple of 5672 and 5677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5672 and 5677, than apply into the LCM equation.

GCF(5672,5677) = 1
LCM(5672,5677) = ( 5672 × 5677) / 1
LCM(5672,5677) = 32199944 / 1
LCM(5672,5677) = 32199944

Properties of LCM 5672 and 5677

(i) The LCM of 5677 and 5672 is associative

LCM of 5672 and 5677 = LCM of 5677 and 5672

Related Least Common Multiples of 5672

Related Least Common Multiples of 5677

Frequently Asked Questions on LCM of 5672 and 5677

1. What is the LCM of 5672 and 5677?

Answer: LCM of 5672 and 5677 is 32199944.

2. 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.

3. What are the Factors of 5677?

Answer: Factors of 5677 are 1, 7, 811, 5677. There are 4 integers that are factors of 5677. The greatest factor of 5677 is 5677.

4. How to Find the LCM of 5672 and 5677?

Answer:

Least Common Multiple of 5672 and 5677 = 32199944

Step 1: Find the prime factorization of 5672

5672 = 2 x 2 x 2 x 709

Step 2: Find the prime factorization of 5677

5677 = 7 x 811

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

LCM = 32199944 = 2 x 2 x 2 x 7 x 709 x 811

Step 4: Therefore, the least common multiple of 5672 and 5677 is 32199944.