Least Common Multiple of 973 and 977

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 977 the smallest integer that is 950621 that is divisible by both numbers.

Least Common Multiple (LCM) of 973 and 977 is 950621.

LCM(973,977) = 950621

LCM of 973 and 977

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

LCM of:
and

Least Common Multiple of 973 and 977

LCM of 973 and 977 is 950621

Least common multiple can be found by multiplying the highest exponent prime factors of 973 and 977. First we will calculate the prime factors of 973 and 977.

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 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 973 and 977.

LCM(973,977) = 71×1391×9771
LCM(973,977) = 950621

Factors of 973

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

1, 7, 139, 973

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Least Common Multiple of 973 and 977 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 977, than apply into the LCM equation.

GCF(973,977) = 1
LCM(973,977) = ( 973 × 977) / 1
LCM(973,977) = 950621 / 1
LCM(973,977) = 950621

Properties of LCM 973 and 977

(i) The LCM of 977 and 973 is associative

LCM of 973 and 977 = LCM of 977 and 973

Related Least Common Multiples of 973

Related Least Common Multiples of 977

Frequently Asked Questions on LCM of 973 and 977

1. What is the LCM of 973 and 977?

Answer: LCM of 973 and 977 is 950621.

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 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

4. How to Find the LCM of 973 and 977?

Answer:

Least Common Multiple of 973 and 977 = 950621

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 977

977 = 977

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

LCM = 950621 = 7 x 139 x 977

Step 4: Therefore, the least common multiple of 973 and 977 is 950621.