Least Common Multiple of 973 and 975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 973 and 975 the smallest integer that is 948675 that is divisible by both numbers.

Least Common Multiple (LCM) of 973 and 975 is 948675.

LCM(973,975) = 948675

LCM of 973 and 975

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

LCM of:
and

Least Common Multiple of 973 and 975

LCM of 973 and 975 is 948675

Least common multiple can be found by multiplying the highest exponent prime factors of 973 and 975. First we will calculate the prime factors of 973 and 975.

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

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 973 and 975.

LCM(973,975) = 31×52×71×131×1391
LCM(973,975) = 948675

Factors of 973

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

1, 7, 139, 973

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Least Common Multiple of 973 and 975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 973 and 975, than apply into the LCM equation.

GCF(973,975) = 1
LCM(973,975) = ( 973 × 975) / 1
LCM(973,975) = 948675 / 1
LCM(973,975) = 948675

Properties of LCM 973 and 975

(i) The LCM of 975 and 973 is associative

LCM of 973 and 975 = LCM of 975 and 973

Related Least Common Multiples of 973

Related Least Common Multiples of 975

Frequently Asked Questions on LCM of 973 and 975

1. What is the LCM of 973 and 975?

Answer: LCM of 973 and 975 is 948675.

2. 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.

3. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

4. How to Find the LCM of 973 and 975?

Answer:

Least Common Multiple of 973 and 975 = 948675

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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

LCM = 948675 = 3 x 5 x 5 x 7 x 13 x 139

Step 4: Therefore, the least common multiple of 973 and 975 is 948675.