Least Common Multiple of 642 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 642 and 650 the smallest integer that is 208650 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 650 is 208650.

LCM(642,650) = 208650

LCM of 642 and 650

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

LCM of:
and

Least Common Multiple of 642 and 650

LCM of 642 and 650 is 208650

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 650. First we will calculate the prime factors of 642 and 650.

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

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 642 and 650.

LCM(642,650) = 21×31×52×131×1071
LCM(642,650) = 208650

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 642 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 642 and 650, than apply into the LCM equation.

GCF(642,650) = 2
LCM(642,650) = ( 642 × 650) / 2
LCM(642,650) = 417300 / 2
LCM(642,650) = 208650

Properties of LCM 642 and 650

(i) The LCM of 650 and 642 is associative

LCM of 642 and 650 = LCM of 650 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 642 and 650

1. What is the LCM of 642 and 650?

Answer: LCM of 642 and 650 is 208650.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

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 642 and 650?

Answer:

Least Common Multiple of 642 and 650 = 208650

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

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 = 208650 = 2 x 3 x 5 x 5 x 13 x 107

Step 4: Therefore, the least common multiple of 642 and 650 is 208650.