Least Common Multiple of 635 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 635 and 639 the smallest integer that is 405765 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 639 is 405765.

LCM(635,639) = 405765

LCM of 635 and 639

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

LCM of:
and

Least Common Multiple of 635 and 639

LCM of 635 and 639 is 405765

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 639. First we will calculate the prime factors of 635 and 639.

Prime Factorization of 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

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 635 and 639.

LCM(635,639) = 32×51×711×1271
LCM(635,639) = 405765

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 635 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 635 and 639, than apply into the LCM equation.

GCF(635,639) = 1
LCM(635,639) = ( 635 × 639) / 1
LCM(635,639) = 405765 / 1
LCM(635,639) = 405765

Properties of LCM 635 and 639

(i) The LCM of 639 and 635 is associative

LCM of 635 and 639 = LCM of 639 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 639

Frequently Asked Questions on LCM of 635 and 639

1. What is the LCM of 635 and 639?

Answer: LCM of 635 and 639 is 405765.

2. What are the Factors of 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

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 635 and 639?

Answer:

Least Common Multiple of 635 and 639 = 405765

Step 1: Find the prime factorization of 635

635 = 5 x 127

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 = 405765 = 3 x 3 x 5 x 71 x 127

Step 4: Therefore, the least common multiple of 635 and 639 is 405765.