LCM for 17 and 34

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 34?

Answer

LCM of 17 and 34 is 34

(Thirty-four)

Finding LCM for 17 and 34 using GCF of these numbers

The first method to find LCM for numbers 17 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 34 is 17, so

LCM = (17 × 34) ÷ 17

LCM = 578 ÷ 17

LCM = 34

Finding LCM for 17 and 34 by Listing Multiples

The second method to find LCM for numbers 17 and 34 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 17: 17, 34, 51, 68

Multiples of 34: 34, 68, 102

So the LCM for 17 and 34 is 34

Finding LCM for 17 and 34 by Prime Factorization

Another method to find LCM for numbers 17 and 34 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 34: 2, 17 (exponent form: 21, 171)

171 × 21 = 34

Related Calculations

See Also

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 34? (The answer is: 34). Select the first number (e.g. '17') and the second number (e.g. '34'). 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
23434
334102
43468
534170
634102
734238
834136
934306
1034170
1134374
1234204
1334442
1434238
1534510
1634272
173434
1834306
1934646
2034340
2134714
2234374
2334782
2434408
2534850
2634442
2734918
2834476
2934986
3034510
31341054

FAQ

What's the Least Common Multiple (LCM) of 17 and 34?

LCM of 17 and 34 is 34

How to find the LCM of 17 and 34 using prime factorization?

To find the LCM of 17 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 34.

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 34: LCM = 34, GCF = 17.

See Also