Least Common Multiple of 639 and 642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 639 and 642 the smallest integer that is 136746 that is divisible by both numbers.

Least Common Multiple (LCM) of 639 and 642 is 136746.

LCM(639,642) = 136746

LCM of 639 and 642

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

LCM of:
and

Least Common Multiple of 639 and 642

LCM of 639 and 642 is 136746

Least common multiple can be found by multiplying the highest exponent prime factors of 639 and 642. First we will calculate the prime factors of 639 and 642.

Prime Factorization of 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 639 and 642.

LCM(639,642) = 21×32×711×1071
LCM(639,642) = 136746

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Factors of 642

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

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

Least Common Multiple of 639 and 642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 639 and 642, than apply into the LCM equation.

GCF(639,642) = 3
LCM(639,642) = ( 639 × 642) / 3
LCM(639,642) = 410238 / 3
LCM(639,642) = 136746

Properties of LCM 639 and 642

(i) The LCM of 642 and 639 is associative

LCM of 639 and 642 = LCM of 642 and 639

Related Least Common Multiples of 639

Related Least Common Multiples of 642

Frequently Asked Questions on LCM of 639 and 642

1. What is the LCM of 639 and 642?

Answer: LCM of 639 and 642 is 136746.

2. What are the Factors of 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

3. 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.

4. How to Find the LCM of 639 and 642?

Answer:

Least Common Multiple of 639 and 642 = 136746

Step 1: Find the prime factorization of 639

639 = 3 x 3 x 71

Step 2: Find the prime factorization of 642

642 = 2 x 3 x 107

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

LCM = 136746 = 2 x 3 x 3 x 71 x 107

Step 4: Therefore, the least common multiple of 639 and 642 is 136746.