Least Common Multiple of 977 and 985

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 985 the smallest integer that is 962345 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 985 is 962345.

LCM(977,985) = 962345

LCM of 977 and 985

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

LCM of:
and

Least Common Multiple of 977 and 985

LCM of 977 and 985 is 962345

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 985. First we will calculate the prime factors of 977 and 985.

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 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 977 and 985.

LCM(977,985) = 51×1971×9771
LCM(977,985) = 962345

Factors of 977

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

1, 977

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Least Common Multiple of 977 and 985 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 985, than apply into the LCM equation.

GCF(977,985) = 1
LCM(977,985) = ( 977 × 985) / 1
LCM(977,985) = 962345 / 1
LCM(977,985) = 962345

Properties of LCM 977 and 985

(i) The LCM of 985 and 977 is associative

LCM of 977 and 985 = LCM of 985 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 985

Frequently Asked Questions on LCM of 977 and 985

1. What is the LCM of 977 and 985?

Answer: LCM of 977 and 985 is 962345.

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 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

4. How to Find the LCM of 977 and 985?

Answer:

Least Common Multiple of 977 and 985 = 962345

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 985

985 = 5 x 197

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

LCM = 962345 = 5 x 197 x 977

Step 4: Therefore, the least common multiple of 977 and 985 is 962345.