Least Common Multiple of 6952 and 6959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6952 and 6959 the smallest integer that is 48378968 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6959 is 48378968.

LCM(6952,6959) = 48378968

LCM of 6952 and 6959

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

LCM of:
and

Least Common Multiple of 6952 and 6959

LCM of 6952 and 6959 is 48378968

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6959. First we will calculate the prime factors of 6952 and 6959.

Prime Factorization of 6952


2 6952
2 3476
2 1738
11 869
79 79
1

Prime factors of 6952 are 2, 11,79. Prime factorization of 6952 in exponential form is:

6952 = 23×111×791

Prime Factorization of 6959


6959 6959
1

Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:

6959 = 69591

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6959.

LCM(6952,6959) = 23×111×791×69591
LCM(6952,6959) = 48378968

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952

Factors of 6959

List of positive integer factors of 6959 that divides 6959 without a remainder.

1, 6959

Least Common Multiple of 6952 and 6959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6952 and 6959, than apply into the LCM equation.

GCF(6952,6959) = 1
LCM(6952,6959) = ( 6952 × 6959) / 1
LCM(6952,6959) = 48378968 / 1
LCM(6952,6959) = 48378968

Properties of LCM 6952 and 6959

(i) The LCM of 6959 and 6952 is associative

LCM of 6952 and 6959 = LCM of 6959 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6959

Frequently Asked Questions on LCM of 6952 and 6959

1. What is the LCM of 6952 and 6959?

Answer: LCM of 6952 and 6959 is 48378968.

2. What are the Factors of 6952?

Answer: Factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952. There are 16 integers that are factors of 6952. The greatest factor of 6952 is 6952.

3. What are the Factors of 6959?

Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.

4. How to Find the LCM of 6952 and 6959?

Answer:

Least Common Multiple of 6952 and 6959 = 48378968

Step 1: Find the prime factorization of 6952

6952 = 2 x 2 x 2 x 11 x 79

Step 2: Find the prime factorization of 6959

6959 = 6959

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

LCM = 48378968 = 2 x 2 x 2 x 11 x 79 x 6959

Step 4: Therefore, the least common multiple of 6952 and 6959 is 48378968.