LCM for 20 and 175

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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 = 3,500 ÷ 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
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LCM Table

Number 1Number 2LCM
206060
2070140
2075300
2084420
2090180
20100100
20105420
20125500
20135540
20140140
20145580
20150300
20160160
20165660
20170340
20175700
20190380
20210420
20220220
20225900
20230460
202551,020
202751,100
202851,140
20290580
202951,180
203051,220
203251,300
203351,340
203551,420

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