LCM for 17 and 20

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 20?

Answer

LCM of 17 and 20 is 340

(Three hundred forty)

Finding LCM for 17 and 20 using GCF of these numbers

The first method to find LCM for numbers 17 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 20 is 1, so

LCM = (17 × 20) ÷ 1

LCM = 340 ÷ 1

LCM = 340

Finding LCM for 17 and 20 by Listing Multiples

The second method to find LCM for numbers 17 and 20 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380

So the LCM for 17 and 20 is 340

Finding LCM for 17 and 20 by Prime Factorization

Another method to find LCM for numbers 17 and 20 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 17: 17 (exponent form: 171)

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

171 × 22 × 51 = 340

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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 17 and 20? (The answer is: 340). Select the first number (e.g. '17') and the second number (e.g. '20'). 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
1718306
1719323
1720340
1724408
1725425
1727459
1728476
1729493
1731527
173434
1735595
1741697
1742714
1744748
1746782
1749833
175151
1752884
1754918
17591003

FAQ

What's the Least Common Multiple (LCM) of 17 and 20?

LCM of 17 and 20 is 340

How to find the LCM of 17 and 20 using prime factorization?

To find the LCM of 17 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 340.

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 17 and 20: LCM = 340, GCF = 1.

See Also