Least Common Multiple of 652 and 657

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 657 the smallest integer that is 428364 that is divisible by both numbers.

Least Common Multiple (LCM) of 652 and 657 is 428364.

LCM(652,657) = 428364

LCM of 652 and 657

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

LCM of:
and

Least Common Multiple of 652 and 657

LCM of 652 and 657 is 428364

Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 657. First we will calculate the prime factors of 652 and 657.

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 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 652 and 657.

LCM(652,657) = 22×32×731×1631
LCM(652,657) = 428364

Factors of 652

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

1, 2, 4, 163, 326, 652

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Least Common Multiple of 652 and 657 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 657, than apply into the LCM equation.

GCF(652,657) = 1
LCM(652,657) = ( 652 × 657) / 1
LCM(652,657) = 428364 / 1
LCM(652,657) = 428364

Properties of LCM 652 and 657

(i) The LCM of 657 and 652 is associative

LCM of 652 and 657 = LCM of 657 and 652

Related Least Common Multiples of 652

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 652 and 657

1. What is the LCM of 652 and 657?

Answer: LCM of 652 and 657 is 428364.

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 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

4. How to Find the LCM of 652 and 657?

Answer:

Least Common Multiple of 652 and 657 = 428364

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

Step 2: Find the prime factorization of 657

657 = 3 x 3 x 73

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

LCM = 428364 = 2 x 2 x 3 x 3 x 73 x 163

Step 4: Therefore, the least common multiple of 652 and 657 is 428364.