Least Common Multiple of 945 and 946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 945 and 946 the smallest integer that is 893970 that is divisible by both numbers.

Least Common Multiple (LCM) of 945 and 946 is 893970.

LCM(945,946) = 893970

LCM of 945 and 946

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

LCM of:
and

Least Common Multiple of 945 and 946

LCM of 945 and 946 is 893970

Least common multiple can be found by multiplying the highest exponent prime factors of 945 and 946. First we will calculate the prime factors of 945 and 946.

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3, 5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 945 and 946.

LCM(945,946) = 21×33×51×71×111×431
LCM(945,946) = 893970

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Least Common Multiple of 945 and 946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 945 and 946, than apply into the LCM equation.

GCF(945,946) = 1
LCM(945,946) = ( 945 × 946) / 1
LCM(945,946) = 893970 / 1
LCM(945,946) = 893970

Properties of LCM 945 and 946

(i) The LCM of 946 and 945 is associative

LCM of 945 and 946 = LCM of 946 and 945

Related Least Common Multiples of 945

Related Least Common Multiples of 946

Frequently Asked Questions on LCM of 945 and 946

1. What is the LCM of 945 and 946?

Answer: LCM of 945 and 946 is 893970.

2. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

3. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

4. How to Find the LCM of 945 and 946?

Answer:

Least Common Multiple of 945 and 946 = 893970

Step 1: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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

LCM = 893970 = 2 x 3 x 3 x 3 x 5 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 945 and 946 is 893970.