Least Common Multiple of 90 and 29

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 29 the smallest integer that is 2610 that is divisible by both numbers.

Least Common Multiple (LCM) of 90 and 29 is 2610.

LCM(90,29) = 2610

LCM of 90 and 29

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

LCM of:
and

Least Common Multiple of 90 and 29

LCM of 90 and 29 is 2610

Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 29. First we will calculate the prime factors of 90 and 29.

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 29


29 29
1

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291

Now multiplying the highest exponent prime factors to calculate the LCM of 90 and 29.

LCM(90,29) = 21×32×51×291
LCM(90,29) = 2610

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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1, 29

Least Common Multiple of 90 and 29 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 29, than apply into the LCM equation.

GCF(90,29) = 1
LCM(90,29) = ( 90 × 29) / 1
LCM(90,29) = 2610 / 1
LCM(90,29) = 2610

Properties of LCM 90 and 29

(i) The LCM of 29 and 90 is associative

LCM of 90 and 29 = LCM of 29 and 90

Related Least Common Multiples of 90

Related Least Common Multiples of 29

Frequently Asked Questions on LCM of 90 and 29

1. What is the LCM of 90 and 29?

Answer: LCM of 90 and 29 is 2610.

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 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

4. How to Find the LCM of 90 and 29?

Answer:

Least Common Multiple of 90 and 29 = 2610

Step 1: Find the prime factorization of 90

90 = 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 29

29 = 29

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

LCM = 2610 = 2 x 3 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 90 and 29 is 2610.