Least Common Multiple of 644 and 652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 644 and 652 the smallest integer that is 104972 that is divisible by both numbers.

Least Common Multiple (LCM) of 644 and 652 is 104972.

LCM(644,652) = 104972

LCM of 644 and 652

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

LCM of:
and

Least Common Multiple of 644 and 652

LCM of 644 and 652 is 104972

Least common multiple can be found by multiplying the highest exponent prime factors of 644 and 652. First we will calculate the prime factors of 644 and 652.

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

Prime Factorization of 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 644 and 652.

LCM(644,652) = 22×71×231×1631
LCM(644,652) = 104972

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Least Common Multiple of 644 and 652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 644 and 652, than apply into the LCM equation.

GCF(644,652) = 4
LCM(644,652) = ( 644 × 652) / 4
LCM(644,652) = 419888 / 4
LCM(644,652) = 104972

Properties of LCM 644 and 652

(i) The LCM of 652 and 644 is associative

LCM of 644 and 652 = LCM of 652 and 644

Related Least Common Multiples of 644

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 644 and 652

1. What is the LCM of 644 and 652?

Answer: LCM of 644 and 652 is 104972.

2. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

3. What are the Factors of 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

4. How to Find the LCM of 644 and 652?

Answer:

Least Common Multiple of 644 and 652 = 104972

Step 1: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

Step 2: Find the prime factorization of 652

652 = 2 x 2 x 163

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

LCM = 104972 = 2 x 2 x 7 x 23 x 163

Step 4: Therefore, the least common multiple of 644 and 652 is 104972.