Least Common Multiple of 6969 and 6974

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 6974 the smallest integer that is 48601806 that is divisible by both numbers.

Least Common Multiple (LCM) of 6969 and 6974 is 48601806.

LCM(6969,6974) = 48601806

LCM of 6969 and 6974

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

LCM of:
and

Least Common Multiple of 6969 and 6974

LCM of 6969 and 6974 is 48601806

Least common multiple can be found by multiplying the highest exponent prime factors of 6969 and 6974. First we will calculate the prime factors of 6969 and 6974.

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 6974


2 6974
11 3487
317 317
1

Prime factors of 6974 are 2, 11,317. Prime factorization of 6974 in exponential form is:

6974 = 21×111×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 6969 and 6974.

LCM(6969,6974) = 21×31×111×231×1011×3171
LCM(6969,6974) = 48601806

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 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1, 2, 11, 22, 317, 634, 3487, 6974

Least Common Multiple of 6969 and 6974 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 6974, than apply into the LCM equation.

GCF(6969,6974) = 1
LCM(6969,6974) = ( 6969 × 6974) / 1
LCM(6969,6974) = 48601806 / 1
LCM(6969,6974) = 48601806

Properties of LCM 6969 and 6974

(i) The LCM of 6974 and 6969 is associative

LCM of 6969 and 6974 = LCM of 6974 and 6969

Related Least Common Multiples of 6969

Related Least Common Multiples of 6974

Frequently Asked Questions on LCM of 6969 and 6974

1. What is the LCM of 6969 and 6974?

Answer: LCM of 6969 and 6974 is 48601806.

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 6974?

Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.

4. How to Find the LCM of 6969 and 6974?

Answer:

Least Common Multiple of 6969 and 6974 = 48601806

Step 1: Find the prime factorization of 6969

6969 = 3 x 23 x 101

Step 2: Find the prime factorization of 6974

6974 = 2 x 11 x 317

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

LCM = 48601806 = 2 x 3 x 11 x 23 x 101 x 317

Step 4: Therefore, the least common multiple of 6969 and 6974 is 48601806.