Least Common Multiple of 7642 and 7647

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 7647 the smallest integer that is 58438374 that is divisible by both numbers.

Least Common Multiple (LCM) of 7642 and 7647 is 58438374.

LCM(7642,7647) = 58438374

LCM of 7642 and 7647

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

LCM of:
and

Least Common Multiple of 7642 and 7647

LCM of 7642 and 7647 is 58438374

Least common multiple can be found by multiplying the highest exponent prime factors of 7642 and 7647. First we will calculate the prime factors of 7642 and 7647.

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 7647


3 7647
2549 2549
1

Prime factors of 7647 are 3,2549. Prime factorization of 7647 in exponential form is:

7647 = 31×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 7642 and 7647.

LCM(7642,7647) = 21×31×25491×38211
LCM(7642,7647) = 58438374

Factors of 7642

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

1, 2, 3821, 7642

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1, 3, 2549, 7647

Least Common Multiple of 7642 and 7647 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 7647, than apply into the LCM equation.

GCF(7642,7647) = 1
LCM(7642,7647) = ( 7642 × 7647) / 1
LCM(7642,7647) = 58438374 / 1
LCM(7642,7647) = 58438374

Properties of LCM 7642 and 7647

(i) The LCM of 7647 and 7642 is associative

LCM of 7642 and 7647 = LCM of 7647 and 7642

Related Least Common Multiples of 7642

Related Least Common Multiples of 7647

Frequently Asked Questions on LCM of 7642 and 7647

1. What is the LCM of 7642 and 7647?

Answer: LCM of 7642 and 7647 is 58438374.

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 7647?

Answer: Factors of 7647 are 1, 3, 2549, 7647. There are 4 integers that are factors of 7647. The greatest factor of 7647 is 7647.

4. How to Find the LCM of 7642 and 7647?

Answer:

Least Common Multiple of 7642 and 7647 = 58438374

Step 1: Find the prime factorization of 7642

7642 = 2 x 3821

Step 2: Find the prime factorization of 7647

7647 = 3 x 2549

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

LCM = 58438374 = 2 x 3 x 2549 x 3821

Step 4: Therefore, the least common multiple of 7642 and 7647 is 58438374.