LCM for 13 and 69

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 13 and 69?

Answer: LCM of 13 and 69 is 897

(Eight hundred ninety-seven)

Finding LCM for 13 and 69 using GCF's of these numbers

The first method to find LCM for numbers 13 and 69 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 13 and 69 is 1, so

LCM = (13 × 69) ÷ 1

LCM = 897 ÷ 1

LCM = 897

Finding LCM for 13 and 69 by Listing Multiples

The second method to find LCM for numbers 13 and 69 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325, 338, 351, 364, 377, 390, 403, 416, 429, 442, 455, 468, 481, 494, 507, 520, 533, 546, 559, 572, 585, 598, 611, 624, 637, 650, 663, 676, 689, 702, 715, 728, 741, 754, 767, 780, 793, 806, 819, 832, 845, 858, 871, 884, 897, 910, 923

Multiples of 69: 69, 138, 207, 276, 345, 414, 483, 552, 621, 690, 759, 828, 897, 966, 1035

So the LCM for 13 and 69 is 897

Finding LCM for 13 and 69 by Prime Factorization

Another method to find LCM for numbers 13 and 69 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 13: 13 (exponent form: 131)

All Prime Factors of 69: 3, 23 (exponent form: 31, 231)

131 × 31 × 231 = 897

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LCM Table

Number 1Number 2LCM
16969
269138
36969
469276
569345
669138
769483
869552
969207
1069690
1169759
1269276
1369897
1469966
1569345
16691104
17691173
1869414
19691311
20691380
2169483
22691518
236969
2469552
25691725
26691794
2769621
28691932
29692001
3069690

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 13 and 69? (The answer is: 897). Select the first number (e.g. '13') and the second number (e.g. '69'). 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

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FAQ

What's the Least Common Multiple (LCM) of 13 and 69?

LCM of 13 and 69 is 897