Least Common Multiple of 958 and 965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 958 and 965 the smallest integer that is 924470 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 965 is 924470.

LCM(958,965) = 924470

LCM of 958 and 965

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

LCM of:
and

Least Common Multiple of 958 and 965

LCM of 958 and 965 is 924470

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 965. First we will calculate the prime factors of 958 and 965.

Prime Factorization of 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

Prime Factorization of 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 958 and 965.

LCM(958,965) = 21×51×1931×4791
LCM(958,965) = 924470

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Least Common Multiple of 958 and 965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 958 and 965, than apply into the LCM equation.

GCF(958,965) = 1
LCM(958,965) = ( 958 × 965) / 1
LCM(958,965) = 924470 / 1
LCM(958,965) = 924470

Properties of LCM 958 and 965

(i) The LCM of 965 and 958 is associative

LCM of 958 and 965 = LCM of 965 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 965

Frequently Asked Questions on LCM of 958 and 965

1. What is the LCM of 958 and 965?

Answer: LCM of 958 and 965 is 924470.

2. What are the Factors of 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

3. What are the Factors of 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

4. How to Find the LCM of 958 and 965?

Answer:

Least Common Multiple of 958 and 965 = 924470

Step 1: Find the prime factorization of 958

958 = 2 x 479

Step 2: Find the prime factorization of 965

965 = 5 x 193

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

LCM = 924470 = 2 x 5 x 193 x 479

Step 4: Therefore, the least common multiple of 958 and 965 is 924470.