Least Common Multiple of 85268 and 85272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 85268 and 85272 the smallest integer that is 1817743224 that is divisible by both numbers.

Least Common Multiple (LCM) of 85268 and 85272 is 1817743224.

LCM(85268,85272) = 1817743224

LCM of 85268 and 85272

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

LCM of:
and

Least Common Multiple of 85268 and 85272

LCM of 85268 and 85272 is 1817743224

Least common multiple can be found by multiplying the highest exponent prime factors of 85268 and 85272. First we will calculate the prime factors of 85268 and 85272.

Prime Factorization of 85268


2 85268
2 42634
21317 21317
1

Prime factors of 85268 are 2,21317. Prime factorization of 85268 in exponential form is:

85268 = 22×213171

Prime Factorization of 85272


2 85272
2 42636
2 21318
3 10659
11 3553
17 323
19 19
1

Prime factors of 85272 are 2, 3, 11, 17,19. Prime factorization of 85272 in exponential form is:

85272 = 23×31×111×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 85268 and 85272.

LCM(85268,85272) = 23×31×111×171×191×213171
LCM(85268,85272) = 1817743224

Factors of 85268

List of positive integer factors of 85268 that divides 85268 without a remainder.

1, 2, 4, 21317, 42634, 85268

Factors of 85272

List of positive integer factors of 85272 that divides 85272 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 19, 22, 24, 33, 34, 38, 44, 51, 57, 66, 68, 76, 88, 102, 114, 132, 136, 152, 187, 204, 209, 228, 264, 323, 374, 408, 418, 456, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1496, 1672, 1938, 2244, 2508, 2584, 3553, 3876, 4488, 5016, 7106, 7752, 10659, 14212, 21318, 28424, 42636, 85272

Least Common Multiple of 85268 and 85272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85268 and 85272, than apply into the LCM equation.

GCF(85268,85272) = 4
LCM(85268,85272) = ( 85268 × 85272) / 4
LCM(85268,85272) = 7270972896 / 4
LCM(85268,85272) = 1817743224

Properties of LCM 85268 and 85272

(i) The LCM of 85272 and 85268 is associative

LCM of 85268 and 85272 = LCM of 85272 and 85268

Related Least Common Multiples of 85268

Related Least Common Multiples of 85272

Frequently Asked Questions on LCM of 85268 and 85272

1. What is the LCM of 85268 and 85272?

Answer: LCM of 85268 and 85272 is 1817743224.

2. What are the Factors of 85268?

Answer: Factors of 85268 are 1, 2, 4, 21317, 42634, 85268. There are 6 integers that are factors of 85268. The greatest factor of 85268 is 85268.

3. What are the Factors of 85272?

Answer: Factors of 85272 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 19, 22, 24, 33, 34, 38, 44, 51, 57, 66, 68, 76, 88, 102, 114, 132, 136, 152, 187, 204, 209, 228, 264, 323, 374, 408, 418, 456, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1496, 1672, 1938, 2244, 2508, 2584, 3553, 3876, 4488, 5016, 7106, 7752, 10659, 14212, 21318, 28424, 42636, 85272. There are 64 integers that are factors of 85272. The greatest factor of 85272 is 85272.

4. How to Find the LCM of 85268 and 85272?

Answer:

Least Common Multiple of 85268 and 85272 = 1817743224

Step 1: Find the prime factorization of 85268

85268 = 2 x 2 x 21317

Step 2: Find the prime factorization of 85272

85272 = 2 x 2 x 2 x 3 x 11 x 17 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 = 1817743224 = 2 x 2 x 2 x 3 x 11 x 17 x 19 x 21317

Step 4: Therefore, the least common multiple of 85268 and 85272 is 1817743224.