Least Common Multiple of 974 and 981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 974 and 981 the smallest integer that is 955494 that is divisible by both numbers.

Least Common Multiple (LCM) of 974 and 981 is 955494.

LCM(974,981) = 955494

LCM of 974 and 981

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

LCM of:
and

Least Common Multiple of 974 and 981

LCM of 974 and 981 is 955494

Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 981. First we will calculate the prime factors of 974 and 981.

Prime Factorization of 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

Prime Factorization of 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 974 and 981.

LCM(974,981) = 21×32×1091×4871
LCM(974,981) = 955494

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Least Common Multiple of 974 and 981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 974 and 981, than apply into the LCM equation.

GCF(974,981) = 1
LCM(974,981) = ( 974 × 981) / 1
LCM(974,981) = 955494 / 1
LCM(974,981) = 955494

Properties of LCM 974 and 981

(i) The LCM of 981 and 974 is associative

LCM of 974 and 981 = LCM of 981 and 974

Related Least Common Multiples of 974

Related Least Common Multiples of 981

Frequently Asked Questions on LCM of 974 and 981

1. What is the LCM of 974 and 981?

Answer: LCM of 974 and 981 is 955494.

2. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

3. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. How to Find the LCM of 974 and 981?

Answer:

Least Common Multiple of 974 and 981 = 955494

Step 1: Find the prime factorization of 974

974 = 2 x 487

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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

LCM = 955494 = 2 x 3 x 3 x 109 x 487

Step 4: Therefore, the least common multiple of 974 and 981 is 955494.