LCM for 17 and 18

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 18?

Answer: LCM of 17 and 18 is 306

(Three hundred six)

Finding LCM for 17 and 18 using GCF's of these numbers

The first method to find LCM for numbers 17 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 18 is 1, so

LCM = (17 × 18) ÷ 1

LCM = 306 ÷ 1

LCM = 306

Finding LCM for 17 and 18 by Listing Multiples

The second method to find LCM for numbers 17 and 18 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342

So the LCM for 17 and 18 is 306

Finding LCM for 17 and 18 by Prime Factorization

Another method to find LCM for numbers 17 and 18 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 18: 2, 3, 3 (exponent form: 21, 32)

171 × 21 × 32 = 306

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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 18? (The answer is: 306). Select the first number (e.g. '17') and the second number (e.g. '18'). 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
21818
31818
41836
51890
61818
718126
81872
91818
101890
1118198
121836
1318234
1418126
151890
1618144
1718306
181818
1918342
2018180
2118126
2218198
2318414
241872
2518450
2618234
271854
2818252
2918522
301890
3118558

FAQ

What's the Least Common Multiple (LCM) of 17 and 18?

LCM of 17 and 18 is 306

See Also