Least Common Multiple of 645 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 645 and 650 the smallest integer that is 83850 that is divisible by both numbers.

Least Common Multiple (LCM) of 645 and 650 is 83850.

LCM(645,650) = 83850

LCM of 645 and 650

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

LCM of:
and

Least Common Multiple of 645 and 650

LCM of 645 and 650 is 83850

Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 650. First we will calculate the prime factors of 645 and 650.

Prime Factorization of 645


3 645
5 215
43 43
1

Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:

645 = 31×51×431

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 645 and 650.

LCM(645,650) = 21×31×52×131×431
LCM(645,650) = 83850

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

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 645 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 645 and 650, than apply into the LCM equation.

GCF(645,650) = 5
LCM(645,650) = ( 645 × 650) / 5
LCM(645,650) = 419250 / 5
LCM(645,650) = 83850

Properties of LCM 645 and 650

(i) The LCM of 650 and 645 is associative

LCM of 645 and 650 = LCM of 650 and 645

Related Least Common Multiples of 645

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 645 and 650

1. What is the LCM of 645 and 650?

Answer: LCM of 645 and 650 is 83850.

2. What are the Factors of 645?

Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.

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 645 and 650?

Answer:

Least Common Multiple of 645 and 650 = 83850

Step 1: Find the prime factorization of 645

645 = 3 x 5 x 43

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 = 83850 = 2 x 3 x 5 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 645 and 650 is 83850.