Least Common Multiple of 7657 and 7662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7657 and 7662 the smallest integer that is 58667934 that is divisible by both numbers.

Least Common Multiple (LCM) of 7657 and 7662 is 58667934.

LCM(7657,7662) = 58667934

LCM of 7657 and 7662

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

LCM of:
and

Least Common Multiple of 7657 and 7662

LCM of 7657 and 7662 is 58667934

Least common multiple can be found by multiplying the highest exponent prime factors of 7657 and 7662. First we will calculate the prime factors of 7657 and 7662.

Prime Factorization of 7657


13 7657
19 589
31 31
1

Prime factors of 7657 are 13, 19,31. Prime factorization of 7657 in exponential form is:

7657 = 131×191×311

Prime Factorization of 7662


2 7662
3 3831
1277 1277
1

Prime factors of 7662 are 2, 3,1277. Prime factorization of 7662 in exponential form is:

7662 = 21×31×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 7657 and 7662.

LCM(7657,7662) = 21×31×131×191×311×12771
LCM(7657,7662) = 58667934

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1, 13, 19, 31, 247, 403, 589, 7657

Factors of 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1, 2, 3, 6, 1277, 2554, 3831, 7662

Least Common Multiple of 7657 and 7662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7657 and 7662, than apply into the LCM equation.

GCF(7657,7662) = 1
LCM(7657,7662) = ( 7657 × 7662) / 1
LCM(7657,7662) = 58667934 / 1
LCM(7657,7662) = 58667934

Properties of LCM 7657 and 7662

(i) The LCM of 7662 and 7657 is associative

LCM of 7657 and 7662 = LCM of 7662 and 7657

Related Least Common Multiples of 7657

Related Least Common Multiples of 7662

Frequently Asked Questions on LCM of 7657 and 7662

1. What is the LCM of 7657 and 7662?

Answer: LCM of 7657 and 7662 is 58667934.

2. What are the Factors of 7657?

Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.

3. What are the Factors of 7662?

Answer: Factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662. There are 8 integers that are factors of 7662. The greatest factor of 7662 is 7662.

4. How to Find the LCM of 7657 and 7662?

Answer:

Least Common Multiple of 7657 and 7662 = 58667934

Step 1: Find the prime factorization of 7657

7657 = 13 x 19 x 31

Step 2: Find the prime factorization of 7662

7662 = 2 x 3 x 1277

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

LCM = 58667934 = 2 x 3 x 13 x 19 x 31 x 1277

Step 4: Therefore, the least common multiple of 7657 and 7662 is 58667934.