Least Common Multiple of 967 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 967 and 974 the smallest integer that is 941858 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 974 is 941858.

LCM(967,974) = 941858

LCM of 967 and 974

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

LCM of:
and

Least Common Multiple of 967 and 974

LCM of 967 and 974 is 941858

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 974. First we will calculate the prime factors of 967 and 974.

Prime Factorization of 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

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 967 and 974.

LCM(967,974) = 21×4871×9671
LCM(967,974) = 941858

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1, 967

Factors of 974

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

1, 2, 487, 974

Least Common Multiple of 967 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 967 and 974, than apply into the LCM equation.

GCF(967,974) = 1
LCM(967,974) = ( 967 × 974) / 1
LCM(967,974) = 941858 / 1
LCM(967,974) = 941858

Properties of LCM 967 and 974

(i) The LCM of 974 and 967 is associative

LCM of 967 and 974 = LCM of 974 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 974

Frequently Asked Questions on LCM of 967 and 974

1. What is the LCM of 967 and 974?

Answer: LCM of 967 and 974 is 941858.

2. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

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 967 and 974?

Answer:

Least Common Multiple of 967 and 974 = 941858

Step 1: Find the prime factorization of 967

967 = 967

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 = 941858 = 2 x 487 x 967

Step 4: Therefore, the least common multiple of 967 and 974 is 941858.