Least Common Multiple of 635 and 643

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 643 the smallest integer that is 408305 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 643 is 408305.

LCM(635,643) = 408305

LCM of 635 and 643

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

LCM of:
and

Least Common Multiple of 635 and 643

LCM of 635 and 643 is 408305

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 643. First we will calculate the prime factors of 635 and 643.

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 643


643 643
1

Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:

643 = 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 635 and 643.

LCM(635,643) = 51×1271×6431
LCM(635,643) = 408305

Factors of 635

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

1, 5, 127, 635

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1, 643

Least Common Multiple of 635 and 643 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 643, than apply into the LCM equation.

GCF(635,643) = 1
LCM(635,643) = ( 635 × 643) / 1
LCM(635,643) = 408305 / 1
LCM(635,643) = 408305

Properties of LCM 635 and 643

(i) The LCM of 643 and 635 is associative

LCM of 635 and 643 = LCM of 643 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 643

Frequently Asked Questions on LCM of 635 and 643

1. What is the LCM of 635 and 643?

Answer: LCM of 635 and 643 is 408305.

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 643?

Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.

4. How to Find the LCM of 635 and 643?

Answer:

Least Common Multiple of 635 and 643 = 408305

Step 1: Find the prime factorization of 635

635 = 5 x 127

Step 2: Find the prime factorization of 643

643 = 643

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

LCM = 408305 = 5 x 127 x 643

Step 4: Therefore, the least common multiple of 635 and 643 is 408305.