Least Common Multiple of 7608 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 7608 and 7614 the smallest integer that is 9654552 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7614 is 9654552.

LCM(7608,7614) = 9654552

LCM of 7608 and 7614

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

LCM of:
and

Least Common Multiple of 7608 and 7614

LCM of 7608 and 7614 is 9654552

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7614. First we will calculate the prime factors of 7608 and 7614.

Prime Factorization of 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2, 3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

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 7608 and 7614.

LCM(7608,7614) = 23×34×471×3171
LCM(7608,7614) = 9654552

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608

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 7608 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 7608 and 7614, than apply into the LCM equation.

GCF(7608,7614) = 6
LCM(7608,7614) = ( 7608 × 7614) / 6
LCM(7608,7614) = 57927312 / 6
LCM(7608,7614) = 9654552

Properties of LCM 7608 and 7614

(i) The LCM of 7614 and 7608 is associative

LCM of 7608 and 7614 = LCM of 7614 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7614

Frequently Asked Questions on LCM of 7608 and 7614

1. What is the LCM of 7608 and 7614?

Answer: LCM of 7608 and 7614 is 9654552.

2. What are the Factors of 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

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 7608 and 7614?

Answer:

Least Common Multiple of 7608 and 7614 = 9654552

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

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 = 9654552 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 47 x 317

Step 4: Therefore, the least common multiple of 7608 and 7614 is 9654552.