Least Common Multiple of 965 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 965 and 973 the smallest integer that is 938945 that is divisible by both numbers.

Least Common Multiple (LCM) of 965 and 973 is 938945.

LCM(965,973) = 938945

LCM of 965 and 973

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

LCM of:
and

Least Common Multiple of 965 and 973

LCM of 965 and 973 is 938945

Least common multiple can be found by multiplying the highest exponent prime factors of 965 and 973. First we will calculate the prime factors of 965 and 973.

Prime Factorization of 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

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 965 and 973.

LCM(965,973) = 51×71×1391×1931
LCM(965,973) = 938945

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Factors of 973

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

1, 7, 139, 973

Least Common Multiple of 965 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 965 and 973, than apply into the LCM equation.

GCF(965,973) = 1
LCM(965,973) = ( 965 × 973) / 1
LCM(965,973) = 938945 / 1
LCM(965,973) = 938945

Properties of LCM 965 and 973

(i) The LCM of 973 and 965 is associative

LCM of 965 and 973 = LCM of 973 and 965

Related Least Common Multiples of 965

Related Least Common Multiples of 973

Frequently Asked Questions on LCM of 965 and 973

1. What is the LCM of 965 and 973?

Answer: LCM of 965 and 973 is 938945.

2. What are the Factors of 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

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 965 and 973?

Answer:

Least Common Multiple of 965 and 973 = 938945

Step 1: Find the prime factorization of 965

965 = 5 x 193

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 = 938945 = 5 x 7 x 139 x 193

Step 4: Therefore, the least common multiple of 965 and 973 is 938945.