Least Common Multiple of 977 and 978

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 978 the smallest integer that is 955506 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 978 is 955506.

LCM(977,978) = 955506

LCM of 977 and 978

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

LCM of:
and

Least Common Multiple of 977 and 978

LCM of 977 and 978 is 955506

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 978. First we will calculate the prime factors of 977 and 978.

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 978


2 978
3 489
163 163
1

Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 977 and 978.

LCM(977,978) = 21×31×1631×9771
LCM(977,978) = 955506

Factors of 977

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

1, 977

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Least Common Multiple of 977 and 978 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 978, than apply into the LCM equation.

GCF(977,978) = 1
LCM(977,978) = ( 977 × 978) / 1
LCM(977,978) = 955506 / 1
LCM(977,978) = 955506

Properties of LCM 977 and 978

(i) The LCM of 978 and 977 is associative

LCM of 977 and 978 = LCM of 978 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 978

Frequently Asked Questions on LCM of 977 and 978

1. What is the LCM of 977 and 978?

Answer: LCM of 977 and 978 is 955506.

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 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. How to Find the LCM of 977 and 978?

Answer:

Least Common Multiple of 977 and 978 = 955506

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 978

978 = 2 x 3 x 163

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

LCM = 955506 = 2 x 3 x 163 x 977

Step 4: Therefore, the least common multiple of 977 and 978 is 955506.