Least Common Multiple of 1649 and 1652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1649 and 1652 the smallest integer that is 2724148 that is divisible by both numbers.

Least Common Multiple (LCM) of 1649 and 1652 is 2724148.

LCM(1649,1652) = 2724148

LCM of 1649 and 1652

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

LCM of:
and

Least Common Multiple of 1649 and 1652

LCM of 1649 and 1652 is 2724148

Least common multiple can be found by multiplying the highest exponent prime factors of 1649 and 1652. First we will calculate the prime factors of 1649 and 1652.

Prime Factorization of 1649


17 1649
97 97
1

Prime factors of 1649 are 17,97. Prime factorization of 1649 in exponential form is:

1649 = 171×971

Prime Factorization of 1652


2 1652
2 826
7 413
59 59
1

Prime factors of 1652 are 2, 7,59. Prime factorization of 1652 in exponential form is:

1652 = 22×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1649 and 1652.

LCM(1649,1652) = 22×71×171×591×971
LCM(1649,1652) = 2724148

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1, 17, 97, 1649

Factors of 1652

List of positive integer factors of 1652 that divides 1652 without a remainder.

1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652

Least Common Multiple of 1649 and 1652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1649 and 1652, than apply into the LCM equation.

GCF(1649,1652) = 1
LCM(1649,1652) = ( 1649 × 1652) / 1
LCM(1649,1652) = 2724148 / 1
LCM(1649,1652) = 2724148

Properties of LCM 1649 and 1652

(i) The LCM of 1652 and 1649 is associative

LCM of 1649 and 1652 = LCM of 1652 and 1649

Related Least Common Multiples of 1649

Related Least Common Multiples of 1652

Frequently Asked Questions on LCM of 1649 and 1652

1. What is the LCM of 1649 and 1652?

Answer: LCM of 1649 and 1652 is 2724148.

2. What are the Factors of 1649?

Answer: Factors of 1649 are 1, 17, 97, 1649. There are 4 integers that are factors of 1649. The greatest factor of 1649 is 1649.

3. What are the Factors of 1652?

Answer: Factors of 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652. There are 12 integers that are factors of 1652. The greatest factor of 1652 is 1652.

4. How to Find the LCM of 1649 and 1652?

Answer:

Least Common Multiple of 1649 and 1652 = 2724148

Step 1: Find the prime factorization of 1649

1649 = 17 x 97

Step 2: Find the prime factorization of 1652

1652 = 2 x 2 x 7 x 59

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

LCM = 2724148 = 2 x 2 x 7 x 17 x 59 x 97

Step 4: Therefore, the least common multiple of 1649 and 1652 is 2724148.