Least Common Multiple of 649 and 657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 649 and 657 the smallest integer that is 426393 that is divisible by both numbers.

Least Common Multiple (LCM) of 649 and 657 is 426393.

LCM(649,657) = 426393

LCM of 649 and 657

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

LCM of:
and

Least Common Multiple of 649 and 657

LCM of 649 and 657 is 426393

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 657. First we will calculate the prime factors of 649 and 657.

Prime Factorization of 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

Prime Factorization of 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 657.

LCM(649,657) = 32×111×591×731
LCM(649,657) = 426393

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Least Common Multiple of 649 and 657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 657, than apply into the LCM equation.

GCF(649,657) = 1
LCM(649,657) = ( 649 × 657) / 1
LCM(649,657) = 426393 / 1
LCM(649,657) = 426393

Properties of LCM 649 and 657

(i) The LCM of 657 and 649 is associative

LCM of 649 and 657 = LCM of 657 and 649

Related Least Common Multiples of 649

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 649 and 657

1. What is the LCM of 649 and 657?

Answer: LCM of 649 and 657 is 426393.

2. What are the Factors of 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

3. What are the Factors of 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

4. How to Find the LCM of 649 and 657?

Answer:

Least Common Multiple of 649 and 657 = 426393

Step 1: Find the prime factorization of 649

649 = 11 x 59

Step 2: Find the prime factorization of 657

657 = 3 x 3 x 73

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

LCM = 426393 = 3 x 3 x 11 x 59 x 73

Step 4: Therefore, the least common multiple of 649 and 657 is 426393.