Least Common Multiple of 652 and 655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 652 and 655 the smallest integer that is 427060 that is divisible by both numbers.

Least Common Multiple (LCM) of 652 and 655 is 427060.

LCM(652,655) = 427060

LCM of 652 and 655

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

LCM of:
and

Least Common Multiple of 652 and 655

LCM of 652 and 655 is 427060

Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 655. First we will calculate the prime factors of 652 and 655.

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

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 652 and 655.

LCM(652,655) = 22×51×1311×1631
LCM(652,655) = 427060

Factors of 652

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

1, 2, 4, 163, 326, 652

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Least Common Multiple of 652 and 655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 652 and 655, than apply into the LCM equation.

GCF(652,655) = 1
LCM(652,655) = ( 652 × 655) / 1
LCM(652,655) = 427060 / 1
LCM(652,655) = 427060

Properties of LCM 652 and 655

(i) The LCM of 655 and 652 is associative

LCM of 652 and 655 = LCM of 655 and 652

Related Least Common Multiples of 652

Related Least Common Multiples of 655

Frequently Asked Questions on LCM of 652 and 655

1. What is the LCM of 652 and 655?

Answer: LCM of 652 and 655 is 427060.

2. 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.

3. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

4. How to Find the LCM of 652 and 655?

Answer:

Least Common Multiple of 652 and 655 = 427060

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

Step 2: Find the prime factorization of 655

655 = 5 x 131

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

LCM = 427060 = 2 x 2 x 5 x 131 x 163

Step 4: Therefore, the least common multiple of 652 and 655 is 427060.