Least Common Multiple of 84 and 94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 84 and 94 the smallest integer that is 3948 that is divisible by both numbers.

Least Common Multiple (LCM) of 84 and 94 is 3948.

LCM(84,94) = 3948

LCM of 84 and 94

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

LCM of:
and

Least Common Multiple of 84 and 94

LCM of 84 and 94 is 3948

Least common multiple can be found by multiplying the highest exponent prime factors of 84 and 94. First we will calculate the prime factors of 84 and 94.

Prime Factorization of 84


2 84
2 42
3 21
7 7
1

Prime factors of 84 are 2, 3,7. Prime factorization of 84 in exponential form is:

84 = 22×31×71

Prime Factorization of 94


2 94
47 47
1

Prime factors of 94 are 2,47. Prime factorization of 94 in exponential form is:

94 = 21×471

Now multiplying the highest exponent prime factors to calculate the LCM of 84 and 94.

LCM(84,94) = 22×31×71×471
LCM(84,94) = 3948

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Least Common Multiple of 84 and 94 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84 and 94, than apply into the LCM equation.

GCF(84,94) = 2
LCM(84,94) = ( 84 × 94) / 2
LCM(84,94) = 7896 / 2
LCM(84,94) = 3948

Properties of LCM 84 and 94

(i) The LCM of 94 and 84 is associative

LCM of 84 and 94 = LCM of 94 and 84

Related Least Common Multiples of 84

Related Least Common Multiples of 94

Frequently Asked Questions on LCM of 84 and 94

1. What is the LCM of 84 and 94?

Answer: LCM of 84 and 94 is 3948.

2. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

3. What are the Factors of 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

4. How to Find the LCM of 84 and 94?

Answer:

Least Common Multiple of 84 and 94 = 3948

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 94

94 = 2 x 47

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

LCM = 3948 = 2 x 2 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 84 and 94 is 3948.