Least Common Multiple of 90 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 90 and 94 the smallest integer that is 4230 that is divisible by both numbers.

Least Common Multiple (LCM) of 90 and 94 is 4230.

LCM(90,94) = 4230

LCM of 90 and 94

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

LCM of:
and

Least Common Multiple of 90 and 94

LCM of 90 and 94 is 4230

Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 94. First we will calculate the prime factors of 90 and 94.

Prime Factorization of 90


2 90
3 45
3 15
5 5
1

Prime factors of 90 are 2, 3,5. Prime factorization of 90 in exponential form is:

90 = 21×32×51

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 90 and 94.

LCM(90,94) = 21×32×51×471
LCM(90,94) = 4230

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 94

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

1, 2, 47, 94

Least Common Multiple of 90 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 90 and 94, than apply into the LCM equation.

GCF(90,94) = 2
LCM(90,94) = ( 90 × 94) / 2
LCM(90,94) = 8460 / 2
LCM(90,94) = 4230

Properties of LCM 90 and 94

(i) The LCM of 94 and 90 is associative

LCM of 90 and 94 = LCM of 94 and 90

Related Least Common Multiples of 90

Related Least Common Multiples of 94

Frequently Asked Questions on LCM of 90 and 94

1. What is the LCM of 90 and 94?

Answer: LCM of 90 and 94 is 4230.

2. What are the Factors of 90?

Answer: Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. There are 12 integers that are factors of 90. The greatest factor of 90 is 90.

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 90 and 94?

Answer:

Least Common Multiple of 90 and 94 = 4230

Step 1: Find the prime factorization of 90

90 = 2 x 3 x 3 x 5

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 = 4230 = 2 x 3 x 3 x 5 x 47

Step 4: Therefore, the least common multiple of 90 and 94 is 4230.