Least Common Multiple of 942 and 945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 942 and 945 the smallest integer that is 296730 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 945 is 296730.

LCM(942,945) = 296730

LCM of 942 and 945

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

LCM of:
and

Least Common Multiple of 942 and 945

LCM of 942 and 945 is 296730

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 945. First we will calculate the prime factors of 942 and 945.

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 945.

LCM(942,945) = 21×33×51×71×1571
LCM(942,945) = 296730

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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

Least Common Multiple of 942 and 945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 945, than apply into the LCM equation.

GCF(942,945) = 3
LCM(942,945) = ( 942 × 945) / 3
LCM(942,945) = 890190 / 3
LCM(942,945) = 296730

Properties of LCM 942 and 945

(i) The LCM of 945 and 942 is associative

LCM of 942 and 945 = LCM of 945 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 942 and 945

1. What is the LCM of 942 and 945?

Answer: LCM of 942 and 945 is 296730.

2. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

3. 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.

4. How to Find the LCM of 942 and 945?

Answer:

Least Common Multiple of 942 and 945 = 296730

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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

LCM = 296730 = 2 x 3 x 3 x 3 x 5 x 7 x 157

Step 4: Therefore, the least common multiple of 942 and 945 is 296730.