LCM for 28 and 38

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 38?

Answer

LCM of 28 and 38 is 532

(Five hundred thirty-two)

Finding LCM for 28 and 38 using GCF of these numbers

The first method to find LCM for numbers 28 and 38 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 38 is 2, so

LCM = (28 × 38) ÷ 2

LCM = 1064 ÷ 2

LCM = 532

Finding LCM for 28 and 38 by Listing Multiples

The second method to find LCM for numbers 28 and 38 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588

Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608

So the LCM for 28 and 38 is 532

Finding LCM for 28 and 38 by Prime Factorization

Another method to find LCM for numbers 28 and 38 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 38: 2, 19 (exponent form: 21, 191)

22 × 71 × 191 = 532

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 28 and 38? (The answer is: 532). Select the first number (e.g. '28') and the second number (e.g. '38'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
1338494
1438266
1538570
1638304
1738646
1838342
193838
2038380
2138798
2238418
2338874
2438456
2538950
2638494
27381026
2838532
29381102
3038570
31381178
3238608
33381254
3438646
35381330
3638684
37381406
383838
39381482
4038760
41381558
4238798

FAQ

What's the Least Common Multiple (LCM) of 28 and 38?

LCM of 28 and 38 is 532

How to find the LCM of 28 and 38 using prime factorization?

To find the LCM of 28 and 38, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 532.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 28 and 38: LCM = 532, GCF = 2.

See Also