LCM for 17 and 49

What's the Least Common Multiple (LCM) of 17 and 49?

Answer: LCM of 17 and 49 is 833

(Eight hundred thirty-three)

Finding LCM for 17 and 49 using GCF's of these numbers

The first method to find LCM for numbers 17 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 49 is 1, so

LCM = (17 × 49) ÷ 1

LCM = 833 ÷ 1

LCM = 833

Finding LCM for 17 and 49 by Listing Multiples

The second method to find LCM for numbers 17 and 49 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, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931

So the LCM for 17 and 49 is 833

Finding LCM for 17 and 49 by Prime Factorization

Another method to find LCM for numbers 17 and 49 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 49: 7, 7 (exponent form: 72)

171 × 72 = 833

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 49? (The answer is: 833). Select the first number (e.g. '17') and the second number (e.g. '49'). 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

LCM Table

Number 1Number 2LCM
24998
349147
449196
549245
649294
749
849392
949
1049490
1149539
1249588
1349637
1449
1549735
1649784
1749
1849882
1949931
2049980
2149
22491078
23491127
24491176
25491225
26491274
27491323
2849
29491421
30491470
31491519

FAQ

What's the Least Common Multiple (LCM) of 17 and 49?

LCM of 17 and 49 is 833