Least Common Multiple of 650 and 651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 650 and 651 the smallest integer that is 423150 that is divisible by both numbers.

Least Common Multiple (LCM) of 650 and 651 is 423150.

LCM(650,651) = 423150

LCM of 650 and 651

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

LCM of:
and

Least Common Multiple of 650 and 651

LCM of 650 and 651 is 423150

Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 651. First we will calculate the prime factors of 650 and 651.

Prime Factorization of 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 650 and 651.

LCM(650,651) = 21×31×52×71×131×311
LCM(650,651) = 423150

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Factors of 651

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

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

Least Common Multiple of 650 and 651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 650 and 651, than apply into the LCM equation.

GCF(650,651) = 1
LCM(650,651) = ( 650 × 651) / 1
LCM(650,651) = 423150 / 1
LCM(650,651) = 423150

Properties of LCM 650 and 651

(i) The LCM of 651 and 650 is associative

LCM of 650 and 651 = LCM of 651 and 650

Related Least Common Multiples of 650

Related Least Common Multiples of 651

Frequently Asked Questions on LCM of 650 and 651

1. What is the LCM of 650 and 651?

Answer: LCM of 650 and 651 is 423150.

2. What are the Factors of 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

3. 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.

4. How to Find the LCM of 650 and 651?

Answer:

Least Common Multiple of 650 and 651 = 423150

Step 1: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 651

651 = 3 x 7 x 31

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

LCM = 423150 = 2 x 3 x 5 x 5 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 650 and 651 is 423150.