Least Common Multiple of 1649 and 1654

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 1654 the smallest integer that is 2727446 that is divisible by both numbers.

Least Common Multiple (LCM) of 1649 and 1654 is 2727446.

LCM(1649,1654) = 2727446

LCM of 1649 and 1654

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

LCM of:
and

Least Common Multiple of 1649 and 1654

LCM of 1649 and 1654 is 2727446

Least common multiple can be found by multiplying the highest exponent prime factors of 1649 and 1654. First we will calculate the prime factors of 1649 and 1654.

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 1654


2 1654
827 827
1

Prime factors of 1654 are 2,827. Prime factorization of 1654 in exponential form is:

1654 = 21×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 1649 and 1654.

LCM(1649,1654) = 21×171×971×8271
LCM(1649,1654) = 2727446

Factors of 1649

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

1, 17, 97, 1649

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1, 2, 827, 1654

Least Common Multiple of 1649 and 1654 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 1654, than apply into the LCM equation.

GCF(1649,1654) = 1
LCM(1649,1654) = ( 1649 × 1654) / 1
LCM(1649,1654) = 2727446 / 1
LCM(1649,1654) = 2727446

Properties of LCM 1649 and 1654

(i) The LCM of 1654 and 1649 is associative

LCM of 1649 and 1654 = LCM of 1654 and 1649

Related Least Common Multiples of 1649

Related Least Common Multiples of 1654

Frequently Asked Questions on LCM of 1649 and 1654

1. What is the LCM of 1649 and 1654?

Answer: LCM of 1649 and 1654 is 2727446.

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 1654?

Answer: Factors of 1654 are 1, 2, 827, 1654. There are 4 integers that are factors of 1654. The greatest factor of 1654 is 1654.

4. How to Find the LCM of 1649 and 1654?

Answer:

Least Common Multiple of 1649 and 1654 = 2727446

Step 1: Find the prime factorization of 1649

1649 = 17 x 97

Step 2: Find the prime factorization of 1654

1654 = 2 x 827

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

LCM = 2727446 = 2 x 17 x 97 x 827

Step 4: Therefore, the least common multiple of 1649 and 1654 is 2727446.