Least Common Multiple of 7642 and 7646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7642 and 7646 the smallest integer that is 29215366 that is divisible by both numbers.

Least Common Multiple (LCM) of 7642 and 7646 is 29215366.

LCM(7642,7646) = 29215366

LCM of 7642 and 7646

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

LCM of:
and

Least Common Multiple of 7642 and 7646

LCM of 7642 and 7646 is 29215366

Least common multiple can be found by multiplying the highest exponent prime factors of 7642 and 7646. First we will calculate the prime factors of 7642 and 7646.

Prime Factorization of 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2,3821. Prime factorization of 7642 in exponential form is:

7642 = 21×38211

Prime Factorization of 7646


2 7646
3823 3823
1

Prime factors of 7646 are 2,3823. Prime factorization of 7646 in exponential form is:

7646 = 21×38231

Now multiplying the highest exponent prime factors to calculate the LCM of 7642 and 7646.

LCM(7642,7646) = 21×38211×38231
LCM(7642,7646) = 29215366

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1, 2, 3821, 7642

Factors of 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1, 2, 3823, 7646

Least Common Multiple of 7642 and 7646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7642 and 7646, than apply into the LCM equation.

GCF(7642,7646) = 2
LCM(7642,7646) = ( 7642 × 7646) / 2
LCM(7642,7646) = 58430732 / 2
LCM(7642,7646) = 29215366

Properties of LCM 7642 and 7646

(i) The LCM of 7646 and 7642 is associative

LCM of 7642 and 7646 = LCM of 7646 and 7642

Related Least Common Multiples of 7642

Related Least Common Multiples of 7646

Frequently Asked Questions on LCM of 7642 and 7646

1. What is the LCM of 7642 and 7646?

Answer: LCM of 7642 and 7646 is 29215366.

2. What are the Factors of 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

3. What are the Factors of 7646?

Answer: Factors of 7646 are 1, 2, 3823, 7646. There are 4 integers that are factors of 7646. The greatest factor of 7646 is 7646.

4. How to Find the LCM of 7642 and 7646?

Answer:

Least Common Multiple of 7642 and 7646 = 29215366

Step 1: Find the prime factorization of 7642

7642 = 2 x 3821

Step 2: Find the prime factorization of 7646

7646 = 2 x 3823

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

LCM = 29215366 = 2 x 3821 x 3823

Step 4: Therefore, the least common multiple of 7642 and 7646 is 29215366.