LCM for 20 and 175

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 175?

Answer

LCM of 20 and 175 is 700

(Seven hundred)

Finding LCM for 20 and 175 using GCF of these numbers

The first method to find LCM for numbers 20 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 175 is 5, so

LCM = (20 × 175) ÷ 5

LCM = 3500 ÷ 5

LCM = 700

Finding LCM for 20 and 175 by Listing Multiples

The second method to find LCM for numbers 20 and 175 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740

Multiples of 175: 175, 350, 525, 700, 875, 1050

So the LCM for 20 and 175 is 700

Finding LCM for 20 and 175 by Prime Factorization

Another method to find LCM for numbers 20 and 175 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)

22 × 52 × 71 = 700

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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 20 and 175? (The answer is: 700). Select the first number (e.g. '20') and the second number (e.g. '175'). 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
5175175
61751050
7175175
81751400
91751575
10175350
111751925
121752100
131752275
14175350
15175525
161752800
171752975
181753150
191753325
20175700
21175525
221753850
231754025
241754200
25175175
261754550
271754725
28175700
291755075
301751050
311755425
321755600
331755775
341755950

FAQ

What's the Least Common Multiple (LCM) of 20 and 175?

LCM of 20 and 175 is 700

How to find the LCM of 20 and 175 using prime factorization?

To find the LCM of 20 and 175, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 700.

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 20 and 175: LCM = 700, GCF = 5.

See Also