Least Common Multiple of 7614 and 7618

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 7618 the smallest integer that is 29001726 that is divisible by both numbers.

Least Common Multiple (LCM) of 7614 and 7618 is 29001726.

LCM(7614,7618) = 29001726

LCM of 7614 and 7618

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

LCM of:
and

Least Common Multiple of 7614 and 7618

LCM of 7614 and 7618 is 29001726

Least common multiple can be found by multiplying the highest exponent prime factors of 7614 and 7618. First we will calculate the prime factors of 7614 and 7618.

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 7618


2 7618
13 3809
293 293
1

Prime factors of 7618 are 2, 13,293. Prime factorization of 7618 in exponential form is:

7618 = 21×131×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7614 and 7618.

LCM(7614,7618) = 21×34×131×471×2931
LCM(7614,7618) = 29001726

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 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1, 2, 13, 26, 293, 586, 3809, 7618

Least Common Multiple of 7614 and 7618 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 7618, than apply into the LCM equation.

GCF(7614,7618) = 2
LCM(7614,7618) = ( 7614 × 7618) / 2
LCM(7614,7618) = 58003452 / 2
LCM(7614,7618) = 29001726

Properties of LCM 7614 and 7618

(i) The LCM of 7618 and 7614 is associative

LCM of 7614 and 7618 = LCM of 7618 and 7614

Related Least Common Multiples of 7614

Related Least Common Multiples of 7618

Frequently Asked Questions on LCM of 7614 and 7618

1. What is the LCM of 7614 and 7618?

Answer: LCM of 7614 and 7618 is 29001726.

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 7618?

Answer: Factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618. There are 8 integers that are factors of 7618. The greatest factor of 7618 is 7618.

4. How to Find the LCM of 7614 and 7618?

Answer:

Least Common Multiple of 7614 and 7618 = 29001726

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 7618

7618 = 2 x 13 x 293

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

LCM = 29001726 = 2 x 3 x 3 x 3 x 3 x 13 x 47 x 293

Step 4: Therefore, the least common multiple of 7614 and 7618 is 29001726.