Least Common Multiple of 6969 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 6969 and 6972 the smallest integer that is 16195956 that is divisible by both numbers.

Least Common Multiple (LCM) of 6969 and 6972 is 16195956.

LCM(6969,6972) = 16195956

LCM of 6969 and 6972

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

LCM of:
and

Least Common Multiple of 6969 and 6972

LCM of 6969 and 6972 is 16195956

Least common multiple can be found by multiplying the highest exponent prime factors of 6969 and 6972. First we will calculate the prime factors of 6969 and 6972.

Prime Factorization of 6969


3 6969
23 2323
101 101
1

Prime factors of 6969 are 3, 23,101. Prime factorization of 6969 in exponential form is:

6969 = 31×231×1011

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 6969 and 6972.

LCM(6969,6972) = 22×31×71×231×831×1011
LCM(6969,6972) = 16195956

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1, 3, 23, 69, 101, 303, 2323, 6969

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 6969 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 6969 and 6972, than apply into the LCM equation.

GCF(6969,6972) = 3
LCM(6969,6972) = ( 6969 × 6972) / 3
LCM(6969,6972) = 48587868 / 3
LCM(6969,6972) = 16195956

Properties of LCM 6969 and 6972

(i) The LCM of 6972 and 6969 is associative

LCM of 6969 and 6972 = LCM of 6972 and 6969

Related Least Common Multiples of 6969

Related Least Common Multiples of 6972

Frequently Asked Questions on LCM of 6969 and 6972

1. What is the LCM of 6969 and 6972?

Answer: LCM of 6969 and 6972 is 16195956.

2. What are the Factors of 6969?

Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.

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 6969 and 6972?

Answer:

Least Common Multiple of 6969 and 6972 = 16195956

Step 1: Find the prime factorization of 6969

6969 = 3 x 23 x 101

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 = 16195956 = 2 x 2 x 3 x 7 x 23 x 83 x 101

Step 4: Therefore, the least common multiple of 6969 and 6972 is 16195956.