LCM for 28 and 35

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 35?

Answer

LCM of 28 and 35 is 140

(One hundred forty)

Finding LCM for 28 and 35 using GCF of these numbers

The first method to find LCM for numbers 28 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 35 is 7, so

LCM = (28 × 35) ÷ 7

LCM = 980 ÷ 7

LCM = 140

Finding LCM for 28 and 35 by Listing Multiples

The second method to find LCM for numbers 28 and 35 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

Multiples of 35: 35, 70, 105, 140, 175, 210

So the LCM for 28 and 35 is 140

Finding LCM for 28 and 35 by Prime Factorization

Another method to find LCM for numbers 28 and 35 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 35: 5, 7 (exponent form: 51, 71)

22 × 71 × 51 = 140

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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 35? (The answer is: 140). Select the first number (e.g. '28') and the second number (e.g. '35'). 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
1335455
143570
1535105
1635560
1735595
1835630
1935665
2035140
2135105
2235770
2335805
2435840
2535175
2635910
2735945
2835140
29351015
3035210
31351085
32351120
33351155
34351190
353535
36351260
37351295
38351330
39351365
4035280
41351435
4235210

FAQ

What's the Least Common Multiple (LCM) of 28 and 35?

LCM of 28 and 35 is 140

How to find the LCM of 28 and 35 using prime factorization?

To find the LCM of 28 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 140.

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 35: LCM = 140, GCF = 7.

See Also