Least Common Multiple of 625 and 633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 625 and 633 the smallest integer that is 395625 that is divisible by both numbers.

Least Common Multiple (LCM) of 625 and 633 is 395625.

LCM(625,633) = 395625

LCM of 625 and 633

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

LCM of:
and

Least Common Multiple of 625 and 633

LCM of 625 and 633 is 395625

Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 633. First we will calculate the prime factors of 625 and 633.

Prime Factorization of 625


5 625
5 125
5 25
5 5
1

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 54

Prime Factorization of 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 633.

LCM(625,633) = 31×54×2111
LCM(625,633) = 395625

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 625 and 633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 633, than apply into the LCM equation.

GCF(625,633) = 1
LCM(625,633) = ( 625 × 633) / 1
LCM(625,633) = 395625 / 1
LCM(625,633) = 395625

Properties of LCM 625 and 633

(i) The LCM of 633 and 625 is associative

LCM of 625 and 633 = LCM of 633 and 625

Related Least Common Multiples of 625

Related Least Common Multiples of 633

Frequently Asked Questions on LCM of 625 and 633

1. What is the LCM of 625 and 633?

Answer: LCM of 625 and 633 is 395625.

2. What are the Factors of 625?

Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.

3. What are the Factors of 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 625 and 633?

Answer:

Least Common Multiple of 625 and 633 = 395625

Step 1: Find the prime factorization of 625

625 = 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 395625 = 3 x 5 x 5 x 5 x 5 x 211

Step 4: Therefore, the least common multiple of 625 and 633 is 395625.