Least Common Multiple of 647 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 647 and 652 the smallest integer that is 421844 that is divisible by both numbers.

Least Common Multiple (LCM) of 647 and 652 is 421844.

LCM(647,652) = 421844

LCM of 647 and 652

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

LCM of:
and

Least Common Multiple of 647 and 652

LCM of 647 and 652 is 421844

Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 652. First we will calculate the prime factors of 647 and 652.

Prime Factorization of 647


647 647
1

Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:

647 = 6471

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 647 and 652.

LCM(647,652) = 22×1631×6471
LCM(647,652) = 421844

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1, 647

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 647 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 647 and 652, than apply into the LCM equation.

GCF(647,652) = 1
LCM(647,652) = ( 647 × 652) / 1
LCM(647,652) = 421844 / 1
LCM(647,652) = 421844

Properties of LCM 647 and 652

(i) The LCM of 652 and 647 is associative

LCM of 647 and 652 = LCM of 652 and 647

Related Least Common Multiples of 647

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 647 and 652

1. What is the LCM of 647 and 652?

Answer: LCM of 647 and 652 is 421844.

2. What are the Factors of 647?

Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.

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 647 and 652?

Answer:

Least Common Multiple of 647 and 652 = 421844

Step 1: Find the prime factorization of 647

647 = 647

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 = 421844 = 2 x 2 x 163 x 647

Step 4: Therefore, the least common multiple of 647 and 652 is 421844.