Least Common Multiple of 7611 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 7611 and 7618 the smallest integer that is 57980598 that is divisible by both numbers.

Least Common Multiple (LCM) of 7611 and 7618 is 57980598.

LCM(7611,7618) = 57980598

LCM of 7611 and 7618

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

LCM of:
and

Least Common Multiple of 7611 and 7618

LCM of 7611 and 7618 is 57980598

Least common multiple can be found by multiplying the highest exponent prime factors of 7611 and 7618. First we will calculate the prime factors of 7611 and 7618.

Prime Factorization of 7611


3 7611
43 2537
59 59
1

Prime factors of 7611 are 3, 43,59. Prime factorization of 7611 in exponential form is:

7611 = 31×431×591

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 7611 and 7618.

LCM(7611,7618) = 21×31×131×431×591×2931
LCM(7611,7618) = 57980598

Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1, 3, 43, 59, 129, 177, 2537, 7611

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 7611 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 7611 and 7618, than apply into the LCM equation.

GCF(7611,7618) = 1
LCM(7611,7618) = ( 7611 × 7618) / 1
LCM(7611,7618) = 57980598 / 1
LCM(7611,7618) = 57980598

Properties of LCM 7611 and 7618

(i) The LCM of 7618 and 7611 is associative

LCM of 7611 and 7618 = LCM of 7618 and 7611

Related Least Common Multiples of 7611

Related Least Common Multiples of 7618

Frequently Asked Questions on LCM of 7611 and 7618

1. What is the LCM of 7611 and 7618?

Answer: LCM of 7611 and 7618 is 57980598.

2. What are the Factors of 7611?

Answer: Factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611. There are 8 integers that are factors of 7611. The greatest factor of 7611 is 7611.

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 7611 and 7618?

Answer:

Least Common Multiple of 7611 and 7618 = 57980598

Step 1: Find the prime factorization of 7611

7611 = 3 x 43 x 59

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 = 57980598 = 2 x 3 x 13 x 43 x 59 x 293

Step 4: Therefore, the least common multiple of 7611 and 7618 is 57980598.