Least Common Multiple of 7610 and 7614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7610 and 7614 the smallest integer that is 28971270 that is divisible by both numbers.

Least Common Multiple (LCM) of 7610 and 7614 is 28971270.

LCM(7610,7614) = 28971270

LCM of 7610 and 7614

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

LCM of:
and

Least Common Multiple of 7610 and 7614

LCM of 7610 and 7614 is 28971270

Least common multiple can be found by multiplying the highest exponent prime factors of 7610 and 7614. First we will calculate the prime factors of 7610 and 7614.

Prime Factorization of 7610


2 7610
5 3805
761 761
1

Prime factors of 7610 are 2, 5,761. Prime factorization of 7610 in exponential form is:

7610 = 21×51×7611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7610 and 7614.

LCM(7610,7614) = 21×34×51×471×7611
LCM(7610,7614) = 28971270

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1, 2, 5, 10, 761, 1522, 3805, 7610

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

Least Common Multiple of 7610 and 7614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7610 and 7614, than apply into the LCM equation.

GCF(7610,7614) = 2
LCM(7610,7614) = ( 7610 × 7614) / 2
LCM(7610,7614) = 57942540 / 2
LCM(7610,7614) = 28971270

Properties of LCM 7610 and 7614

(i) The LCM of 7614 and 7610 is associative

LCM of 7610 and 7614 = LCM of 7614 and 7610

Related Least Common Multiples of 7610

Related Least Common Multiples of 7614

Frequently Asked Questions on LCM of 7610 and 7614

1. What is the LCM of 7610 and 7614?

Answer: LCM of 7610 and 7614 is 28971270.

2. What are the Factors of 7610?

Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.

3. 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.

4. How to Find the LCM of 7610 and 7614?

Answer:

Least Common Multiple of 7610 and 7614 = 28971270

Step 1: Find the prime factorization of 7610

7610 = 2 x 5 x 761

Step 2: Find the prime factorization of 7614

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

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

LCM = 28971270 = 2 x 3 x 3 x 3 x 3 x 5 x 47 x 761

Step 4: Therefore, the least common multiple of 7610 and 7614 is 28971270.