Least Common Multiple of 7614 and 7621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7614 and 7621 the smallest integer that is 58026294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7614 and 7621 is 58026294.

LCM(7614,7621) = 58026294

LCM of 7614 and 7621

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

LCM of:
and

Least Common Multiple of 7614 and 7621

LCM of 7614 and 7621 is 58026294

Least common multiple can be found by multiplying the highest exponent prime factors of 7614 and 7621. First we will calculate the prime factors of 7614 and 7621.

Prime Factorization of 7614


2 7614
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 7614 are 2, 3,47. Prime factorization of 7614 in exponential form is:

7614 = 21×34×471

Prime Factorization of 7621


7621 7621
1

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

7621 = 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 7614 and 7621.

LCM(7614,7621) = 21×34×471×76211
LCM(7614,7621) = 58026294

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614

Factors of 7621

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

1, 7621

Least Common Multiple of 7614 and 7621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7614 and 7621, than apply into the LCM equation.

GCF(7614,7621) = 1
LCM(7614,7621) = ( 7614 × 7621) / 1
LCM(7614,7621) = 58026294 / 1
LCM(7614,7621) = 58026294

Properties of LCM 7614 and 7621

(i) The LCM of 7621 and 7614 is associative

LCM of 7614 and 7621 = LCM of 7621 and 7614

Related Least Common Multiples of 7614

Related Least Common Multiples of 7621

Frequently Asked Questions on LCM of 7614 and 7621

1. What is the LCM of 7614 and 7621?

Answer: LCM of 7614 and 7621 is 58026294.

2. What are the Factors of 7614?

Answer: Factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614. There are 20 integers that are factors of 7614. The greatest factor of 7614 is 7614.

3. 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.

4. How to Find the LCM of 7614 and 7621?

Answer:

Least Common Multiple of 7614 and 7621 = 58026294

Step 1: Find the prime factorization of 7614

7614 = 2 x 3 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 7621

7621 = 7621

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

LCM = 58026294 = 2 x 3 x 3 x 3 x 3 x 47 x 7621

Step 4: Therefore, the least common multiple of 7614 and 7621 is 58026294.