Least Common Multiple of 7621 and 7625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7621 and 7625 the smallest integer that is 58110125 that is divisible by both numbers.

Least Common Multiple (LCM) of 7621 and 7625 is 58110125.

LCM(7621,7625) = 58110125

LCM of 7621 and 7625

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

LCM of:
and

Least Common Multiple of 7621 and 7625

LCM of 7621 and 7625 is 58110125

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7625. First we will calculate the prime factors of 7621 and 7625.

Prime Factorization of 7621


7621 7621
1

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Prime Factorization of 7625


5 7625
5 1525
5 305
61 61
1

Prime factors of 7625 are 5,61. Prime factorization of 7625 in exponential form is:

7625 = 53×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7625.

LCM(7621,7625) = 53×611×76211
LCM(7621,7625) = 58110125

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1, 7621

Factors of 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1, 5, 25, 61, 125, 305, 1525, 7625

Least Common Multiple of 7621 and 7625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7625, than apply into the LCM equation.

GCF(7621,7625) = 1
LCM(7621,7625) = ( 7621 × 7625) / 1
LCM(7621,7625) = 58110125 / 1
LCM(7621,7625) = 58110125

Properties of LCM 7621 and 7625

(i) The LCM of 7625 and 7621 is associative

LCM of 7621 and 7625 = LCM of 7625 and 7621

Related Least Common Multiples of 7621

Related Least Common Multiples of 7625

Frequently Asked Questions on LCM of 7621 and 7625

1. What is the LCM of 7621 and 7625?

Answer: LCM of 7621 and 7625 is 58110125.

2. What are the Factors of 7621?

Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.

3. What are the Factors of 7625?

Answer: Factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625. There are 8 integers that are factors of 7625. The greatest factor of 7625 is 7625.

4. How to Find the LCM of 7621 and 7625?

Answer:

Least Common Multiple of 7621 and 7625 = 58110125

Step 1: Find the prime factorization of 7621

7621 = 7621

Step 2: Find the prime factorization of 7625

7625 = 5 x 5 x 5 x 61

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

LCM = 58110125 = 5 x 5 x 5 x 61 x 7621

Step 4: Therefore, the least common multiple of 7621 and 7625 is 58110125.