Least Common Multiple of 967 and 973

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 973 the smallest integer that is 940891 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 973 is 940891.

LCM(967,973) = 940891

LCM of 967 and 973

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

LCM of:
and

Least Common Multiple of 967 and 973

LCM of 967 and 973 is 940891

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 973. First we will calculate the prime factors of 967 and 973.

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 973


7 973
139 139
1

Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:

973 = 71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 967 and 973.

LCM(967,973) = 71×1391×9671
LCM(967,973) = 940891

Factors of 967

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

1, 967

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Least Common Multiple of 967 and 973 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 973, than apply into the LCM equation.

GCF(967,973) = 1
LCM(967,973) = ( 967 × 973) / 1
LCM(967,973) = 940891 / 1
LCM(967,973) = 940891

Properties of LCM 967 and 973

(i) The LCM of 973 and 967 is associative

LCM of 967 and 973 = LCM of 973 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 973

Frequently Asked Questions on LCM of 967 and 973

1. What is the LCM of 967 and 973?

Answer: LCM of 967 and 973 is 940891.

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 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

4. How to Find the LCM of 967 and 973?

Answer:

Least Common Multiple of 967 and 973 = 940891

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 973

973 = 7 x 139

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

LCM = 940891 = 7 x 139 x 967

Step 4: Therefore, the least common multiple of 967 and 973 is 940891.