Least Common Multiple of 221835 and 221840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 221835 and 221840 the smallest integer that is 9842375280 that is divisible by both numbers.

Least Common Multiple (LCM) of 221835 and 221840 is 9842375280.

LCM(221835,221840) = 9842375280

LCM of 221835 and 221840

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

LCM of:
and

Least Common Multiple of 221835 and 221840

LCM of 221835 and 221840 is 9842375280

Least common multiple can be found by multiplying the highest exponent prime factors of 221835 and 221840. First we will calculate the prime factors of 221835 and 221840.

Prime Factorization of 221835


3 221835
5 73945
23 14789
643 643
1

Prime factors of 221835 are 3, 5, 23,643. Prime factorization of 221835 in exponential form is:

221835 = 31×51×231×6431

Prime Factorization of 221840


2 221840
2 110920
2 55460
2 27730
5 13865
47 2773
59 59
1

Prime factors of 221840 are 2, 5, 47,59. Prime factorization of 221840 in exponential form is:

221840 = 24×51×471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 221835 and 221840.

LCM(221835,221840) = 24×31×51×231×471×591×6431
LCM(221835,221840) = 9842375280

Factors of 221835

List of positive integer factors of 221835 that divides 221835 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835

Factors of 221840

List of positive integer factors of 221840 that divides 221840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 59, 80, 94, 118, 188, 235, 236, 295, 376, 470, 472, 590, 752, 940, 944, 1180, 1880, 2360, 2773, 3760, 4720, 5546, 11092, 13865, 22184, 27730, 44368, 55460, 110920, 221840

Least Common Multiple of 221835 and 221840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221835 and 221840, than apply into the LCM equation.

GCF(221835,221840) = 5
LCM(221835,221840) = ( 221835 × 221840) / 5
LCM(221835,221840) = 49211876400 / 5
LCM(221835,221840) = 9842375280

Properties of LCM 221835 and 221840

(i) The LCM of 221840 and 221835 is associative

LCM of 221835 and 221840 = LCM of 221840 and 221835

Related Least Common Multiples of 221835

Related Least Common Multiples of 221840

Frequently Asked Questions on LCM of 221835 and 221840

1. What is the LCM of 221835 and 221840?

Answer: LCM of 221835 and 221840 is 9842375280.

2. What are the Factors of 221835?

Answer: Factors of 221835 are 1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835. There are 16 integers that are factors of 221835. The greatest factor of 221835 is 221835.

3. What are the Factors of 221840?

Answer: Factors of 221840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 59, 80, 94, 118, 188, 235, 236, 295, 376, 470, 472, 590, 752, 940, 944, 1180, 1880, 2360, 2773, 3760, 4720, 5546, 11092, 13865, 22184, 27730, 44368, 55460, 110920, 221840. There are 40 integers that are factors of 221840. The greatest factor of 221840 is 221840.

4. How to Find the LCM of 221835 and 221840?

Answer:

Least Common Multiple of 221835 and 221840 = 9842375280

Step 1: Find the prime factorization of 221835

221835 = 3 x 5 x 23 x 643

Step 2: Find the prime factorization of 221840

221840 = 2 x 2 x 2 x 2 x 5 x 47 x 59

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

LCM = 9842375280 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 47 x 59 x 643

Step 4: Therefore, the least common multiple of 221835 and 221840 is 9842375280.