Least Common Multiple of 90 and 95

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 95 the smallest integer that is 1710 that is divisible by both numbers.

Least Common Multiple (LCM) of 90 and 95 is 1710.

LCM(90,95) = 1710

LCM of 90 and 95

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

LCM of:
and

Least Common Multiple of 90 and 95

LCM of 90 and 95 is 1710

Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 95. First we will calculate the prime factors of 90 and 95.

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 95


5 95
19 19
1

Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:

95 = 51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 90 and 95.

LCM(90,95) = 21×32×51×191
LCM(90,95) = 1710

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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Least Common Multiple of 90 and 95 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 95, than apply into the LCM equation.

GCF(90,95) = 5
LCM(90,95) = ( 90 × 95) / 5
LCM(90,95) = 8550 / 5
LCM(90,95) = 1710

Properties of LCM 90 and 95

(i) The LCM of 95 and 90 is associative

LCM of 90 and 95 = LCM of 95 and 90

Related Least Common Multiples of 90

Related Least Common Multiples of 95

Frequently Asked Questions on LCM of 90 and 95

1. What is the LCM of 90 and 95?

Answer: LCM of 90 and 95 is 1710.

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 95?

Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.

4. How to Find the LCM of 90 and 95?

Answer:

Least Common Multiple of 90 and 95 = 1710

Step 1: Find the prime factorization of 90

90 = 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 95

95 = 5 x 19

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

LCM = 1710 = 2 x 3 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 90 and 95 is 1710.