LCM for 28 and 49

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 49?

Answer: LCM of 28 and 49 is 196

(One hundred ninety-six)

Finding LCM for 28 and 49 using GCF's of these numbers

The first method to find LCM for numbers 28 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 49 is 7, so

LCM = (28 × 49) ÷ 7

LCM = 1372 ÷ 7

LCM = 196

Finding LCM for 28 and 49 by Listing Multiples

The second method to find LCM for numbers 28 and 49 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

Multiples of 49: 49, 98, 147, 196, 245, 294

So the LCM for 28 and 49 is 196

Finding LCM for 28 and 49 by Prime Factorization

Another method to find LCM for numbers 28 and 49 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 49: 7, 7 (exponent form: 72)

22 × 72 = 196

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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 49? (The answer is: 196). Select the first number (e.g. '28') and the second number (e.g. '49'). 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
1349637
144998
1549735
1649784
1749833
1849882
1949931
2049980
2149147
22491078
23491127
24491176
25491225
26491274
27491323
2849196
29491421
30491470
31491519
32491568
33491617
34491666
3549245
36491764
37491813
38491862
39491911
40491960
41492009
4249294

FAQ

What's the Least Common Multiple (LCM) of 28 and 49?

LCM of 28 and 49 is 196

See Also