Least Common Multiple of 1650 and 1656

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 1656 the smallest integer that is 455400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1650 and 1656 is 455400.

LCM(1650,1656) = 455400

LCM of 1650 and 1656

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

LCM of:
and

Least Common Multiple of 1650 and 1656

LCM of 1650 and 1656 is 455400

Least common multiple can be found by multiplying the highest exponent prime factors of 1650 and 1656. First we will calculate the prime factors of 1650 and 1656.

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 1656


2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 1656 are 2, 3,23. Prime factorization of 1656 in exponential form is:

1656 = 23×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1650 and 1656.

LCM(1650,1656) = 23×32×52×111×231
LCM(1650,1656) = 455400

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 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656

Least Common Multiple of 1650 and 1656 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 1656, than apply into the LCM equation.

GCF(1650,1656) = 6
LCM(1650,1656) = ( 1650 × 1656) / 6
LCM(1650,1656) = 2732400 / 6
LCM(1650,1656) = 455400

Properties of LCM 1650 and 1656

(i) The LCM of 1656 and 1650 is associative

LCM of 1650 and 1656 = LCM of 1656 and 1650

Related Least Common Multiples of 1650

Related Least Common Multiples of 1656

Frequently Asked Questions on LCM of 1650 and 1656

1. What is the LCM of 1650 and 1656?

Answer: LCM of 1650 and 1656 is 455400.

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 1656?

Answer: Factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656. There are 24 integers that are factors of 1656. The greatest factor of 1656 is 1656.

4. How to Find the LCM of 1650 and 1656?

Answer:

Least Common Multiple of 1650 and 1656 = 455400

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 1656

1656 = 2 x 2 x 2 x 3 x 3 x 23

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

LCM = 455400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 23

Step 4: Therefore, the least common multiple of 1650 and 1656 is 455400.