Least Common Multiple of 649 and 650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 649 and 650 the smallest integer that is 421850 that is divisible by both numbers.

Least Common Multiple (LCM) of 649 and 650 is 421850.

LCM(649,650) = 421850

LCM of 649 and 650

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

LCM of:
and

Least Common Multiple of 649 and 650

LCM of 649 and 650 is 421850

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 650. First we will calculate the prime factors of 649 and 650.

Prime Factorization of 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 650.

LCM(649,650) = 21×52×111×131×591
LCM(649,650) = 421850

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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

Least Common Multiple of 649 and 650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 650, than apply into the LCM equation.

GCF(649,650) = 1
LCM(649,650) = ( 649 × 650) / 1
LCM(649,650) = 421850 / 1
LCM(649,650) = 421850

Properties of LCM 649 and 650

(i) The LCM of 650 and 649 is associative

LCM of 649 and 650 = LCM of 650 and 649

Related Least Common Multiples of 649

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 649 and 650

1. What is the LCM of 649 and 650?

Answer: LCM of 649 and 650 is 421850.

2. What are the Factors of 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

3. 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.

4. How to Find the LCM of 649 and 650?

Answer:

Least Common Multiple of 649 and 650 = 421850

Step 1: Find the prime factorization of 649

649 = 11 x 59

Step 2: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

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

LCM = 421850 = 2 x 5 x 5 x 11 x 13 x 59

Step 4: Therefore, the least common multiple of 649 and 650 is 421850.