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LCM for 17 and 19

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 19?

Answer

LCM of 17 and 19 is 323

(Three hundred twenty-three)

Finding LCM for 17 and 19 using GCF of these numbers

The first method to find LCM for numbers 17 and 19 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 19 is 1, so

LCM = (17 × 19) ÷ 1

LCM = 323 ÷ 1

LCM = 323

Finding LCM for 17 and 19 by Listing Multiples

The second method to find LCM for numbers 17 and 19 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

Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361

So the LCM for 17 and 19 is 323

Finding LCM for 17 and 19 by Prime Factorization

Another method to find LCM for numbers 17 and 19 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 19: 19 (exponent form: 191)

171 × 191 = 323

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What is the LCM of 17 and 19?. The LCM of 17 and 19 is 323 — the smallest common multiple of both integers.
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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

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 19? (The answer is: 323). Select the first number (e.g. '17') and the second number (e.g. '19'). 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

FAQ

What's the Least Common Multiple (LCM) of 17 and 19?

LCM of 17 and 19 is 323

How to find the LCM of 17 and 19 using prime factorization?

To find the LCM of 17 and 19, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 323.

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 19: LCM = 323, GCF = 1.

See Also