Least Common Multiple of 21475 and 21480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21475 and 21480 the smallest integer that is 92256600 that is divisible by both numbers.

Least Common Multiple (LCM) of 21475 and 21480 is 92256600.

LCM(21475,21480) = 92256600

LCM of 21475 and 21480

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

LCM of:
and

Least Common Multiple of 21475 and 21480

LCM of 21475 and 21480 is 92256600

Least common multiple can be found by multiplying the highest exponent prime factors of 21475 and 21480. First we will calculate the prime factors of 21475 and 21480.

Prime Factorization of 21475


5 21475
5 4295
859 859
1

Prime factors of 21475 are 5,859. Prime factorization of 21475 in exponential form is:

21475 = 52×8591

Prime Factorization of 21480


2 21480
2 10740
2 5370
3 2685
5 895
179 179
1

Prime factors of 21480 are 2, 3, 5,179. Prime factorization of 21480 in exponential form is:

21480 = 23×31×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 21475 and 21480.

LCM(21475,21480) = 23×31×52×1791×8591
LCM(21475,21480) = 92256600

Factors of 21475

List of positive integer factors of 21475 that divides 21475 without a remainder.

1, 5, 25, 859, 4295, 21475

Factors of 21480

List of positive integer factors of 21480 that divides 21480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 179, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 3580, 4296, 5370, 7160, 10740, 21480

Least Common Multiple of 21475 and 21480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21475 and 21480, than apply into the LCM equation.

GCF(21475,21480) = 5
LCM(21475,21480) = ( 21475 × 21480) / 5
LCM(21475,21480) = 461283000 / 5
LCM(21475,21480) = 92256600

Properties of LCM 21475 and 21480

(i) The LCM of 21480 and 21475 is associative

LCM of 21475 and 21480 = LCM of 21480 and 21475

Related Least Common Multiples of 21475

Related Least Common Multiples of 21480

Frequently Asked Questions on LCM of 21475 and 21480

1. What is the LCM of 21475 and 21480?

Answer: LCM of 21475 and 21480 is 92256600.

2. What are the Factors of 21475?

Answer: Factors of 21475 are 1, 5, 25, 859, 4295, 21475. There are 6 integers that are factors of 21475. The greatest factor of 21475 is 21475.

3. What are the Factors of 21480?

Answer: Factors of 21480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 179, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 3580, 4296, 5370, 7160, 10740, 21480. There are 32 integers that are factors of 21480. The greatest factor of 21480 is 21480.

4. How to Find the LCM of 21475 and 21480?

Answer:

Least Common Multiple of 21475 and 21480 = 92256600

Step 1: Find the prime factorization of 21475

21475 = 5 x 5 x 859

Step 2: Find the prime factorization of 21480

21480 = 2 x 2 x 2 x 3 x 5 x 179

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

LCM = 92256600 = 2 x 2 x 2 x 3 x 5 x 5 x 179 x 859

Step 4: Therefore, the least common multiple of 21475 and 21480 is 92256600.