Least Common Multiple of 90 and 97

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 97 the smallest integer that is 8730 that is divisible by both numbers.

Least Common Multiple (LCM) of 90 and 97 is 8730.

LCM(90,97) = 8730

LCM of 90 and 97

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

LCM of:
and

Least Common Multiple of 90 and 97

LCM of 90 and 97 is 8730

Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 97. First we will calculate the prime factors of 90 and 97.

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 97


97 97
1

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 971

Now multiplying the highest exponent prime factors to calculate the LCM of 90 and 97.

LCM(90,97) = 21×32×51×971
LCM(90,97) = 8730

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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1, 97

Least Common Multiple of 90 and 97 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 97, than apply into the LCM equation.

GCF(90,97) = 1
LCM(90,97) = ( 90 × 97) / 1
LCM(90,97) = 8730 / 1
LCM(90,97) = 8730

Properties of LCM 90 and 97

(i) The LCM of 97 and 90 is associative

LCM of 90 and 97 = LCM of 97 and 90

Related Least Common Multiples of 90

Related Least Common Multiples of 97

Frequently Asked Questions on LCM of 90 and 97

1. What is the LCM of 90 and 97?

Answer: LCM of 90 and 97 is 8730.

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 97?

Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.

4. How to Find the LCM of 90 and 97?

Answer:

Least Common Multiple of 90 and 97 = 8730

Step 1: Find the prime factorization of 90

90 = 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 97

97 = 97

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

LCM = 8730 = 2 x 3 x 3 x 5 x 97

Step 4: Therefore, the least common multiple of 90 and 97 is 8730.