Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6948 and 6952 the smallest integer that is 12075624 that is divisible by both numbers.
Least Common Multiple (LCM) of 6948 and 6952 is 12075624.
LCM(6948,6952) = 12075624
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6948 and 6952. First we will calculate the prime factors of 6948 and 6952.
Prime Factorization of 6948
2 | 6948 |
2 | 3474 |
3 | 1737 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 6948 are 2, 3,193. Prime factorization of 6948 in exponential form is:
6948 = 22×32×1931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6948 and 6952.
LCM(6948,6952) = 23×32×111×791×1931
LCM(6948,6952) = 12075624
Factors of 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6948 and 6952, than apply into the LCM equation.
GCF(6948,6952) = 4
LCM(6948,6952) = ( 6948 × 6952) / 4
LCM(6948,6952) = 48302496 / 4
LCM(6948,6952) = 12075624
(i) The LCM of 6952 and 6948 is associative
LCM of 6948 and 6952 = LCM of 6952 and 6948
1. What is the LCM of 6948 and 6952?
Answer: LCM of 6948 and 6952 is 12075624.
2. What are the Factors of 6948?
Answer: Factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. There are 18 integers that are factors of 6948. The greatest factor of 6948 is 6948.
3. 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.
4. How to Find the LCM of 6948 and 6952?
Answer:
Least Common Multiple of 6948 and 6952 = 12075624
Step 1: Find the prime factorization of 6948
6948 = 2 x 2 x 3 x 3 x 193
Step 2: Find the prime factorization of 6952
6952 = 2 x 2 x 2 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12075624 = 2 x 2 x 2 x 3 x 3 x 11 x 79 x 193
Step 4: Therefore, the least common multiple of 6948 and 6952 is 12075624.