Least Common Multiple of 1650 and 1658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1650 and 1658 the smallest integer that is 1367850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1650 and 1658 is 1367850.

LCM(1650,1658) = 1367850

LCM of 1650 and 1658

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

LCM of:
and

Least Common Multiple of 1650 and 1658

LCM of 1650 and 1658 is 1367850

Least common multiple can be found by multiplying the highest exponent prime factors of 1650 and 1658. First we will calculate the prime factors of 1650 and 1658.

Prime Factorization of 1650


2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 1650 are 2, 3, 5,11. Prime factorization of 1650 in exponential form is:

1650 = 21×31×52×111

Prime Factorization of 1658


2 1658
829 829
1

Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:

1658 = 21×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 1650 and 1658.

LCM(1650,1658) = 21×31×52×111×8291
LCM(1650,1658) = 1367850

Factors of 1650

List of positive integer factors of 1650 that divides 1650 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1, 2, 829, 1658

Least Common Multiple of 1650 and 1658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1650 and 1658, than apply into the LCM equation.

GCF(1650,1658) = 2
LCM(1650,1658) = ( 1650 × 1658) / 2
LCM(1650,1658) = 2735700 / 2
LCM(1650,1658) = 1367850

Properties of LCM 1650 and 1658

(i) The LCM of 1658 and 1650 is associative

LCM of 1650 and 1658 = LCM of 1658 and 1650

Related Least Common Multiples of 1650

Related Least Common Multiples of 1658

Frequently Asked Questions on LCM of 1650 and 1658

1. What is the LCM of 1650 and 1658?

Answer: LCM of 1650 and 1658 is 1367850.

2. What are the Factors of 1650?

Answer: Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. There are 24 integers that are factors of 1650. The greatest factor of 1650 is 1650.

3. What are the Factors of 1658?

Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.

4. How to Find the LCM of 1650 and 1658?

Answer:

Least Common Multiple of 1650 and 1658 = 1367850

Step 1: Find the prime factorization of 1650

1650 = 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 1658

1658 = 2 x 829

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

LCM = 1367850 = 2 x 3 x 5 x 5 x 11 x 829

Step 4: Therefore, the least common multiple of 1650 and 1658 is 1367850.