Least Common Multiple of 942 and 947

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 947 the smallest integer that is 892074 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 947 is 892074.

LCM(942,947) = 892074

LCM of 942 and 947

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

LCM of:
and

Least Common Multiple of 942 and 947

LCM of 942 and 947 is 892074

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 947. First we will calculate the prime factors of 942 and 947.

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 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 947.

LCM(942,947) = 21×31×1571×9471
LCM(942,947) = 892074

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 947

List of positive integer factors of 947 that divides 947 without a remainder.

1, 947

Least Common Multiple of 942 and 947 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 947, than apply into the LCM equation.

GCF(942,947) = 1
LCM(942,947) = ( 942 × 947) / 1
LCM(942,947) = 892074 / 1
LCM(942,947) = 892074

Properties of LCM 942 and 947

(i) The LCM of 947 and 942 is associative

LCM of 942 and 947 = LCM of 947 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 942 and 947

1. What is the LCM of 942 and 947?

Answer: LCM of 942 and 947 is 892074.

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 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the LCM of 942 and 947?

Answer:

Least Common Multiple of 942 and 947 = 892074

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 947

947 = 947

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

LCM = 892074 = 2 x 3 x 157 x 947

Step 4: Therefore, the least common multiple of 942 and 947 is 892074.