Least Common Multiple of 969 and 974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 969 and 974 the smallest integer that is 943806 that is divisible by both numbers.

Least Common Multiple (LCM) of 969 and 974 is 943806.

LCM(969,974) = 943806

LCM of 969 and 974

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

LCM of:
and

Least Common Multiple of 969 and 974

LCM of 969 and 974 is 943806

Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 974. First we will calculate the prime factors of 969 and 974.

Prime Factorization of 969


3 969
17 323
19 19
1

Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:

969 = 31×171×191

Prime Factorization of 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 974.

LCM(969,974) = 21×31×171×191×4871
LCM(969,974) = 943806

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Least Common Multiple of 969 and 974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 969 and 974, than apply into the LCM equation.

GCF(969,974) = 1
LCM(969,974) = ( 969 × 974) / 1
LCM(969,974) = 943806 / 1
LCM(969,974) = 943806

Properties of LCM 969 and 974

(i) The LCM of 974 and 969 is associative

LCM of 969 and 974 = LCM of 974 and 969

Related Least Common Multiples of 969

Related Least Common Multiples of 974

Frequently Asked Questions on LCM of 969 and 974

1. What is the LCM of 969 and 974?

Answer: LCM of 969 and 974 is 943806.

2. What are the Factors of 969?

Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.

3. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

4. How to Find the LCM of 969 and 974?

Answer:

Least Common Multiple of 969 and 974 = 943806

Step 1: Find the prime factorization of 969

969 = 3 x 17 x 19

Step 2: Find the prime factorization of 974

974 = 2 x 487

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

LCM = 943806 = 2 x 3 x 17 x 19 x 487

Step 4: Therefore, the least common multiple of 969 and 974 is 943806.