Least Common Multiple of 7957 and 7962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7957 and 7962 the smallest integer that is 63353634 that is divisible by both numbers.

Least Common Multiple (LCM) of 7957 and 7962 is 63353634.

LCM(7957,7962) = 63353634

LCM of 7957 and 7962

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

LCM of:
and

Least Common Multiple of 7957 and 7962

LCM of 7957 and 7962 is 63353634

Least common multiple can be found by multiplying the highest exponent prime factors of 7957 and 7962. First we will calculate the prime factors of 7957 and 7962.

Prime Factorization of 7957


73 7957
109 109
1

Prime factors of 7957 are 73,109. Prime factorization of 7957 in exponential form is:

7957 = 731×1091

Prime Factorization of 7962


2 7962
3 3981
1327 1327
1

Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:

7962 = 21×31×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 7957 and 7962.

LCM(7957,7962) = 21×31×731×1091×13271
LCM(7957,7962) = 63353634

Factors of 7957

List of positive integer factors of 7957 that divides 7957 without a remainder.

1, 73, 109, 7957

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1, 2, 3, 6, 1327, 2654, 3981, 7962

Least Common Multiple of 7957 and 7962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7957 and 7962, than apply into the LCM equation.

GCF(7957,7962) = 1
LCM(7957,7962) = ( 7957 × 7962) / 1
LCM(7957,7962) = 63353634 / 1
LCM(7957,7962) = 63353634

Properties of LCM 7957 and 7962

(i) The LCM of 7962 and 7957 is associative

LCM of 7957 and 7962 = LCM of 7962 and 7957

Related Least Common Multiples of 7957

Related Least Common Multiples of 7962

Frequently Asked Questions on LCM of 7957 and 7962

1. What is the LCM of 7957 and 7962?

Answer: LCM of 7957 and 7962 is 63353634.

2. What are the Factors of 7957?

Answer: Factors of 7957 are 1, 73, 109, 7957. There are 4 integers that are factors of 7957. The greatest factor of 7957 is 7957.

3. What are the Factors of 7962?

Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.

4. How to Find the LCM of 7957 and 7962?

Answer:

Least Common Multiple of 7957 and 7962 = 63353634

Step 1: Find the prime factorization of 7957

7957 = 73 x 109

Step 2: Find the prime factorization of 7962

7962 = 2 x 3 x 1327

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

LCM = 63353634 = 2 x 3 x 73 x 109 x 1327

Step 4: Therefore, the least common multiple of 7957 and 7962 is 63353634.