Least Common Multiple of 645 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 645 and 652 the smallest integer that is 420540 that is divisible by both numbers.

Least Common Multiple (LCM) of 645 and 652 is 420540.

LCM(645,652) = 420540

LCM of 645 and 652

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

LCM of:
and

Least Common Multiple of 645 and 652

LCM of 645 and 652 is 420540

Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 652. First we will calculate the prime factors of 645 and 652.

Prime Factorization of 645


3 645
5 215
43 43
1

Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:

645 = 31×51×431

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 645 and 652.

LCM(645,652) = 22×31×51×431×1631
LCM(645,652) = 420540

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 645 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 645 and 652, than apply into the LCM equation.

GCF(645,652) = 1
LCM(645,652) = ( 645 × 652) / 1
LCM(645,652) = 420540 / 1
LCM(645,652) = 420540

Properties of LCM 645 and 652

(i) The LCM of 652 and 645 is associative

LCM of 645 and 652 = LCM of 652 and 645

Related Least Common Multiples of 645

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 645 and 652

1. What is the LCM of 645 and 652?

Answer: LCM of 645 and 652 is 420540.

2. What are the Factors of 645?

Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.

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 645 and 652?

Answer:

Least Common Multiple of 645 and 652 = 420540

Step 1: Find the prime factorization of 645

645 = 3 x 5 x 43

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 = 420540 = 2 x 2 x 3 x 5 x 43 x 163

Step 4: Therefore, the least common multiple of 645 and 652 is 420540.