Least Common Multiple of 642 and 649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 642 and 649 the smallest integer that is 416658 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 649 is 416658.

LCM(642,649) = 416658

LCM of 642 and 649

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

LCM of:
and

Least Common Multiple of 642 and 649

LCM of 642 and 649 is 416658

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 649. First we will calculate the prime factors of 642 and 649.

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 649.

LCM(642,649) = 21×31×111×591×1071
LCM(642,649) = 416658

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Factors of 649

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

1, 11, 59, 649

Least Common Multiple of 642 and 649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 642 and 649, than apply into the LCM equation.

GCF(642,649) = 1
LCM(642,649) = ( 642 × 649) / 1
LCM(642,649) = 416658 / 1
LCM(642,649) = 416658

Properties of LCM 642 and 649

(i) The LCM of 649 and 642 is associative

LCM of 642 and 649 = LCM of 649 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 649

Frequently Asked Questions on LCM of 642 and 649

1. What is the LCM of 642 and 649?

Answer: LCM of 642 and 649 is 416658.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

3. 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.

4. How to Find the LCM of 642 and 649?

Answer:

Least Common Multiple of 642 and 649 = 416658

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

Step 2: Find the prime factorization of 649

649 = 11 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 = 416658 = 2 x 3 x 11 x 59 x 107

Step 4: Therefore, the least common multiple of 642 and 649 is 416658.