Least Common Multiple of 6952 and 6955

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 6955 the smallest integer that is 48351160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6952 and 6955 is 48351160.

LCM(6952,6955) = 48351160

LCM of 6952 and 6955

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

LCM of:
and

Least Common Multiple of 6952 and 6955

LCM of 6952 and 6955 is 48351160

Least common multiple can be found by multiplying the highest exponent prime factors of 6952 and 6955. First we will calculate the prime factors of 6952 and 6955.

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 6955


5 6955
13 1391
107 107
1

Prime factors of 6955 are 5, 13,107. Prime factorization of 6955 in exponential form is:

6955 = 51×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6952 and 6955.

LCM(6952,6955) = 23×51×111×131×791×1071
LCM(6952,6955) = 48351160

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 6955

List of positive integer factors of 6955 that divides 6955 without a remainder.

1, 5, 13, 65, 107, 535, 1391, 6955

Least Common Multiple of 6952 and 6955 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 6955, than apply into the LCM equation.

GCF(6952,6955) = 1
LCM(6952,6955) = ( 6952 × 6955) / 1
LCM(6952,6955) = 48351160 / 1
LCM(6952,6955) = 48351160

Properties of LCM 6952 and 6955

(i) The LCM of 6955 and 6952 is associative

LCM of 6952 and 6955 = LCM of 6955 and 6952

Related Least Common Multiples of 6952

Related Least Common Multiples of 6955

Frequently Asked Questions on LCM of 6952 and 6955

1. What is the LCM of 6952 and 6955?

Answer: LCM of 6952 and 6955 is 48351160.

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 6955?

Answer: Factors of 6955 are 1, 5, 13, 65, 107, 535, 1391, 6955. There are 8 integers that are factors of 6955. The greatest factor of 6955 is 6955.

4. How to Find the LCM of 6952 and 6955?

Answer:

Least Common Multiple of 6952 and 6955 = 48351160

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 6955

6955 = 5 x 13 x 107

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

LCM = 48351160 = 2 x 2 x 2 x 5 x 11 x 13 x 79 x 107

Step 4: Therefore, the least common multiple of 6952 and 6955 is 48351160.