Least Common Multiple of 977 and 984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 977 and 984 the smallest integer that is 961368 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 984 is 961368.

LCM(977,984) = 961368

LCM of 977 and 984

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

LCM of:
and

Least Common Multiple of 977 and 984

LCM of 977 and 984 is 961368

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 984. First we will calculate the prime factors of 977 and 984.

Prime Factorization of 977


977 977
1

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

977 = 9771

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 977 and 984.

LCM(977,984) = 23×31×411×9771
LCM(977,984) = 961368

Factors of 977

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

1, 977

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Least Common Multiple of 977 and 984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 977 and 984, than apply into the LCM equation.

GCF(977,984) = 1
LCM(977,984) = ( 977 × 984) / 1
LCM(977,984) = 961368 / 1
LCM(977,984) = 961368

Properties of LCM 977 and 984

(i) The LCM of 984 and 977 is associative

LCM of 977 and 984 = LCM of 984 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 977 and 984

1. What is the LCM of 977 and 984?

Answer: LCM of 977 and 984 is 961368.

2. 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.

3. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the LCM of 977 and 984?

Answer:

Least Common Multiple of 977 and 984 = 961368

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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

LCM = 961368 = 2 x 2 x 2 x 3 x 41 x 977

Step 4: Therefore, the least common multiple of 977 and 984 is 961368.