LCM for 28 and 68

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 68?

Answer: LCM of 28 and 68 is 476

(Four hundred seventy-six)

Finding LCM for 28 and 68 using GCF's of these numbers

The first method to find LCM for numbers 28 and 68 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 68 is 4, so

LCM = (28 × 68) ÷ 4

LCM = 1904 ÷ 4

LCM = 476

Finding LCM for 28 and 68 by Listing Multiples

The second method to find LCM for numbers 28 and 68 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612

So the LCM for 28 and 68 is 476

Finding LCM for 28 and 68 by Prime Factorization

Another method to find LCM for numbers 28 and 68 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 68: 2, 2, 17 (exponent form: 22, 171)

22 × 71 × 171 = 476

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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 68? (The answer is: 476). Select the first number (e.g. '28') and the second number (e.g. '68'). 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
1368884
1468476
15681020
1668272
176868
1868612
19681292
2068340
21681428
2268748
23681564
2468408
25681700
2668884
27681836
2868476
29681972
30681020
31682108
3268544
33682244
346868
35682380
3668612
37682516
38681292
39682652
4068680
41682788
42681428

FAQ

What's the Least Common Multiple (LCM) of 28 and 68?

LCM of 28 and 68 is 476

See Also