Least Common Multiple of 967 and 970

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 970 the smallest integer that is 937990 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 970 is 937990.

LCM(967,970) = 937990

LCM of 967 and 970

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

LCM of:
and

Least Common Multiple of 967 and 970

LCM of 967 and 970 is 937990

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 970. First we will calculate the prime factors of 967 and 970.

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 970


2 970
5 485
97 97
1

Prime factors of 970 are 2, 5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 967 and 970.

LCM(967,970) = 21×51×971×9671
LCM(967,970) = 937990

Factors of 967

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

1, 967

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Least Common Multiple of 967 and 970 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 970, than apply into the LCM equation.

GCF(967,970) = 1
LCM(967,970) = ( 967 × 970) / 1
LCM(967,970) = 937990 / 1
LCM(967,970) = 937990

Properties of LCM 967 and 970

(i) The LCM of 970 and 967 is associative

LCM of 967 and 970 = LCM of 970 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 967 and 970

1. What is the LCM of 967 and 970?

Answer: LCM of 967 and 970 is 937990.

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 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

4. How to Find the LCM of 967 and 970?

Answer:

Least Common Multiple of 967 and 970 = 937990

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 970

970 = 2 x 5 x 97

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

LCM = 937990 = 2 x 5 x 97 x 967

Step 4: Therefore, the least common multiple of 967 and 970 is 937990.