Least Common Multiple of 7621 and 7627

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 7627 the smallest integer that is 58125367 that is divisible by both numbers.

Least Common Multiple (LCM) of 7621 and 7627 is 58125367.

LCM(7621,7627) = 58125367

LCM of 7621 and 7627

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

LCM of:
and

Least Common Multiple of 7621 and 7627

LCM of 7621 and 7627 is 58125367

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7627. First we will calculate the prime factors of 7621 and 7627.

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 7627


29 7627
263 263
1

Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:

7627 = 291×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7627.

LCM(7621,7627) = 291×2631×76211
LCM(7621,7627) = 58125367

Factors of 7621

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

1, 7621

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1, 29, 263, 7627

Least Common Multiple of 7621 and 7627 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 7627, than apply into the LCM equation.

GCF(7621,7627) = 1
LCM(7621,7627) = ( 7621 × 7627) / 1
LCM(7621,7627) = 58125367 / 1
LCM(7621,7627) = 58125367

Properties of LCM 7621 and 7627

(i) The LCM of 7627 and 7621 is associative

LCM of 7621 and 7627 = LCM of 7627 and 7621

Related Least Common Multiples of 7621

Related Least Common Multiples of 7627

Frequently Asked Questions on LCM of 7621 and 7627

1. What is the LCM of 7621 and 7627?

Answer: LCM of 7621 and 7627 is 58125367.

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 7627?

Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.

4. How to Find the LCM of 7621 and 7627?

Answer:

Least Common Multiple of 7621 and 7627 = 58125367

Step 1: Find the prime factorization of 7621

7621 = 7621

Step 2: Find the prime factorization of 7627

7627 = 29 x 263

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

LCM = 58125367 = 29 x 263 x 7621

Step 4: Therefore, the least common multiple of 7621 and 7627 is 58125367.