LCM for 26 and 28

What's the Least Common Multiple (LCM) of 26 and 28?

Answer: LCM of 26 and 28 is 364

(Three hundred sixty-four)

Finding LCM for 26 and 28 using GCF's of these numbers

The first method to find LCM for numbers 26 and 28 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 26 and 28 is 2, so

LCM = (26 × 28) ÷ 2

LCM = 728 ÷ 2

LCM = 364

Finding LCM for 26 and 28 by Listing Multiples

The second method to find LCM for numbers 26 and 28 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260, 286, 312, 338, 364, 390, 416

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420

So the LCM for 26 and 28 is 364

Finding LCM for 26 and 28 by Prime Factorization

Another method to find LCM for numbers 26 and 28 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 26: 2, 13 (exponent form: 21, 131)

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

22 × 131 × 71 = 364

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
1128308
1228
1328364
1428
1528
1628
1728476
1828
1928532
2028
2128
2228
2328644
2428
2528700
2628
2728756
282828
2928812
3028420
3128868
3228224
3328924
3428476
3528140
3628
37281036
3828532
39281092
4028280

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 26 and 28? (The answer is: 364). Select the first number (e.g. '26') and the second number (e.g. '28'). 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

FAQ

What's the Least Common Multiple (LCM) of 26 and 28?

LCM of 26 and 28 is 364