Least Common Multiple of 7612 and 7617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7612 and 7617 the smallest integer that is 57980604 that is divisible by both numbers.

Least Common Multiple (LCM) of 7612 and 7617 is 57980604.

LCM(7612,7617) = 57980604

LCM of 7612 and 7617

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

LCM of:
and

Least Common Multiple of 7612 and 7617

LCM of 7612 and 7617 is 57980604

Least common multiple can be found by multiplying the highest exponent prime factors of 7612 and 7617. First we will calculate the prime factors of 7612 and 7617.

Prime Factorization of 7612


2 7612
2 3806
11 1903
173 173
1

Prime factors of 7612 are 2, 11,173. Prime factorization of 7612 in exponential form is:

7612 = 22×111×1731

Prime Factorization of 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 7612 and 7617.

LCM(7612,7617) = 22×31×111×1731×25391
LCM(7612,7617) = 57980604

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1, 3, 2539, 7617

Least Common Multiple of 7612 and 7617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7612 and 7617, than apply into the LCM equation.

GCF(7612,7617) = 1
LCM(7612,7617) = ( 7612 × 7617) / 1
LCM(7612,7617) = 57980604 / 1
LCM(7612,7617) = 57980604

Properties of LCM 7612 and 7617

(i) The LCM of 7617 and 7612 is associative

LCM of 7612 and 7617 = LCM of 7617 and 7612

Related Least Common Multiples of 7612

Related Least Common Multiples of 7617

Frequently Asked Questions on LCM of 7612 and 7617

1. What is the LCM of 7612 and 7617?

Answer: LCM of 7612 and 7617 is 57980604.

2. What are the Factors of 7612?

Answer: Factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612. There are 12 integers that are factors of 7612. The greatest factor of 7612 is 7612.

3. What are the Factors of 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

4. How to Find the LCM of 7612 and 7617?

Answer:

Least Common Multiple of 7612 and 7617 = 57980604

Step 1: Find the prime factorization of 7612

7612 = 2 x 2 x 11 x 173

Step 2: Find the prime factorization of 7617

7617 = 3 x 2539

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

LCM = 57980604 = 2 x 2 x 3 x 11 x 173 x 2539

Step 4: Therefore, the least common multiple of 7612 and 7617 is 57980604.