Least Common Multiple of 651 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 651 and 652 the smallest integer that is 424452 that is divisible by both numbers.

Least Common Multiple (LCM) of 651 and 652 is 424452.

LCM(651,652) = 424452

LCM of 651 and 652

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

LCM of:
and

Least Common Multiple of 651 and 652

LCM of 651 and 652 is 424452

Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 652. First we will calculate the prime factors of 651 and 652.

Prime Factorization of 651


3 651
7 217
31 31
1

Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

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 651 and 652.

LCM(651,652) = 22×31×71×311×1631
LCM(651,652) = 424452

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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 651 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 651 and 652, than apply into the LCM equation.

GCF(651,652) = 1
LCM(651,652) = ( 651 × 652) / 1
LCM(651,652) = 424452 / 1
LCM(651,652) = 424452

Properties of LCM 651 and 652

(i) The LCM of 652 and 651 is associative

LCM of 651 and 652 = LCM of 652 and 651

Related Least Common Multiples of 651

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 651 and 652

1. What is the LCM of 651 and 652?

Answer: LCM of 651 and 652 is 424452.

2. What are the Factors of 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

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 651 and 652?

Answer:

Least Common Multiple of 651 and 652 = 424452

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

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 = 424452 = 2 x 2 x 3 x 7 x 31 x 163

Step 4: Therefore, the least common multiple of 651 and 652 is 424452.