LCM for 28 and 126

What's the Least Common Multiple (LCM) of 28 and 126?

Answer: LCM of 28 and 126 is 252

(Two hundred fifty-two)

Finding LCM for 28 and 126 using GCF's of these numbers

The first method to find LCM for numbers 28 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 126 is 14, so

LCM = (28 × 126) ÷ 14

LCM = 3528 ÷ 14

LCM = 252

Finding LCM for 28 and 126 by Listing Multiples

The second method to find LCM for numbers 28 and 126 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

Multiples of 126: 126, 252, 378, 504

So the LCM for 28 and 126 is 252

Finding LCM for 28 and 126 by Prime Factorization

Another method to find LCM for numbers 28 and 126 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 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

22 × 71 × 32 = 252

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 126? (The answer is: 252). Select the first number (e.g. '28') and the second number (e.g. '126'). 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

LCM Table

Number 1Number 2LCM
131261638
14126126
15126630
161261008
171262142
18126126
191262394
201261260
21126126
221261386
231262898
24126504
251263150
261261638
27126378
28126
291263654
30126630
311263906
321262016
331261386
341262142
35126630
36126252
371264662
381262394
391261638
401262520
411265166
42126126

FAQ

What's the Least Common Multiple (LCM) of 28 and 126?

LCM of 28 and 126 is 252