Least Common Multiple of 6966 and 6972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6966 and 6972 the smallest integer that is 8094492 that is divisible by both numbers.

Least Common Multiple (LCM) of 6966 and 6972 is 8094492.

LCM(6966,6972) = 8094492

LCM of 6966 and 6972

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

LCM of:
and

Least Common Multiple of 6966 and 6972

LCM of 6966 and 6972 is 8094492

Least common multiple can be found by multiplying the highest exponent prime factors of 6966 and 6972. First we will calculate the prime factors of 6966 and 6972.

Prime Factorization of 6966


2 6966
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 6966 are 2, 3,43. Prime factorization of 6966 in exponential form is:

6966 = 21×34×431

Prime Factorization of 6972


2 6972
2 3486
3 1743
7 581
83 83
1

Prime factors of 6972 are 2, 3, 7,83. Prime factorization of 6972 in exponential form is:

6972 = 22×31×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6966 and 6972.

LCM(6966,6972) = 22×34×71×431×831
LCM(6966,6972) = 8094492

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972

Least Common Multiple of 6966 and 6972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6966 and 6972, than apply into the LCM equation.

GCF(6966,6972) = 6
LCM(6966,6972) = ( 6966 × 6972) / 6
LCM(6966,6972) = 48566952 / 6
LCM(6966,6972) = 8094492

Properties of LCM 6966 and 6972

(i) The LCM of 6972 and 6966 is associative

LCM of 6966 and 6972 = LCM of 6972 and 6966

Related Least Common Multiples of 6966

Related Least Common Multiples of 6972

Frequently Asked Questions on LCM of 6966 and 6972

1. What is the LCM of 6966 and 6972?

Answer: LCM of 6966 and 6972 is 8094492.

2. What are the Factors of 6966?

Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.

3. What are the Factors of 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

4. How to Find the LCM of 6966 and 6972?

Answer:

Least Common Multiple of 6966 and 6972 = 8094492

Step 1: Find the prime factorization of 6966

6966 = 2 x 3 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

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

LCM = 8094492 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 43 x 83

Step 4: Therefore, the least common multiple of 6966 and 6972 is 8094492.