Least Common Multiple of 973 and 976

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 976 the smallest integer that is 949648 that is divisible by both numbers.

Least Common Multiple (LCM) of 973 and 976 is 949648.

LCM(973,976) = 949648

LCM of 973 and 976

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

LCM of:
and

Least Common Multiple of 973 and 976

LCM of 973 and 976 is 949648

Least common multiple can be found by multiplying the highest exponent prime factors of 973 and 976. First we will calculate the prime factors of 973 and 976.

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 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Now multiplying the highest exponent prime factors to calculate the LCM of 973 and 976.

LCM(973,976) = 24×71×611×1391
LCM(973,976) = 949648

Factors of 973

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

1, 7, 139, 973

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Least Common Multiple of 973 and 976 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 976, than apply into the LCM equation.

GCF(973,976) = 1
LCM(973,976) = ( 973 × 976) / 1
LCM(973,976) = 949648 / 1
LCM(973,976) = 949648

Properties of LCM 973 and 976

(i) The LCM of 976 and 973 is associative

LCM of 973 and 976 = LCM of 976 and 973

Related Least Common Multiples of 973

Related Least Common Multiples of 976

Frequently Asked Questions on LCM of 973 and 976

1. What is the LCM of 973 and 976?

Answer: LCM of 973 and 976 is 949648.

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 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the LCM of 973 and 976?

Answer:

Least Common Multiple of 973 and 976 = 949648

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

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

LCM = 949648 = 2 x 2 x 2 x 2 x 7 x 61 x 139

Step 4: Therefore, the least common multiple of 973 and 976 is 949648.