Least Common Multiple of 1650 and 1657

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 1657 the smallest integer that is 2734050 that is divisible by both numbers.

Least Common Multiple (LCM) of 1650 and 1657 is 2734050.

LCM(1650,1657) = 2734050

LCM of 1650 and 1657

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

LCM of:
and

Least Common Multiple of 1650 and 1657

LCM of 1650 and 1657 is 2734050

Least common multiple can be found by multiplying the highest exponent prime factors of 1650 and 1657. First we will calculate the prime factors of 1650 and 1657.

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 1657


1657 1657
1

Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:

1657 = 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 1650 and 1657.

LCM(1650,1657) = 21×31×52×111×16571
LCM(1650,1657) = 2734050

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 1657

List of positive integer factors of 1657 that divides 1657 without a remainder.

1, 1657

Least Common Multiple of 1650 and 1657 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 1657, than apply into the LCM equation.

GCF(1650,1657) = 1
LCM(1650,1657) = ( 1650 × 1657) / 1
LCM(1650,1657) = 2734050 / 1
LCM(1650,1657) = 2734050

Properties of LCM 1650 and 1657

(i) The LCM of 1657 and 1650 is associative

LCM of 1650 and 1657 = LCM of 1657 and 1650

Related Least Common Multiples of 1650

Related Least Common Multiples of 1657

Frequently Asked Questions on LCM of 1650 and 1657

1. What is the LCM of 1650 and 1657?

Answer: LCM of 1650 and 1657 is 2734050.

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 1657?

Answer: Factors of 1657 are 1, 1657. There are 2 integers that are factors of 1657. The greatest factor of 1657 is 1657.

4. How to Find the LCM of 1650 and 1657?

Answer:

Least Common Multiple of 1650 and 1657 = 2734050

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 1657

1657 = 1657

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

LCM = 2734050 = 2 x 3 x 5 x 5 x 11 x 1657

Step 4: Therefore, the least common multiple of 1650 and 1657 is 2734050.