Least Common Multiple of 634 and 639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 634 and 639 the smallest integer that is 405126 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 639 is 405126.

LCM(634,639) = 405126

LCM of 634 and 639

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

LCM of:
and

Least Common Multiple of 634 and 639

LCM of 634 and 639 is 405126

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 639. First we will calculate the prime factors of 634 and 639.

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 634 and 639.

LCM(634,639) = 21×32×711×3171
LCM(634,639) = 405126

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Factors of 639

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

1, 3, 9, 71, 213, 639

Least Common Multiple of 634 and 639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 634 and 639, than apply into the LCM equation.

GCF(634,639) = 1
LCM(634,639) = ( 634 × 639) / 1
LCM(634,639) = 405126 / 1
LCM(634,639) = 405126

Properties of LCM 634 and 639

(i) The LCM of 639 and 634 is associative

LCM of 634 and 639 = LCM of 639 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 639

Frequently Asked Questions on LCM of 634 and 639

1. What is the LCM of 634 and 639?

Answer: LCM of 634 and 639 is 405126.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

3. 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.

4. How to Find the LCM of 634 and 639?

Answer:

Least Common Multiple of 634 and 639 = 405126

Step 1: Find the prime factorization of 634

634 = 2 x 317

Step 2: Find the prime factorization of 639

639 = 3 x 3 x 71

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

LCM = 405126 = 2 x 3 x 3 x 71 x 317

Step 4: Therefore, the least common multiple of 634 and 639 is 405126.