LCM for 81 and 49

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 81 and 49?

Answer

LCM of 81 and 49 is
3,969

(Three thousand nine hundred sixty-nine)

Finding LCM for 81 and 49 using GCF of these numbers

The first method to find LCM for numbers 81 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 81 and 49 is 1, so

LCM = (81 × 49) ÷ 1

LCM = 3,969 ÷ 1

LCM = 3,969

Finding LCM for 81 and 49 by Listing Multiples

The second method to find LCM for numbers 81 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 81: 81, 162, 243, 324, 405, 486, 567, 648, 729, 810, 891, 972, 1053, 1134, 1215, 1296, 1377, 1458, 1539, 1620, 1701, 1782, 1863, 1944, 2025, 2106, 2187, 2268, 2349, 2430, 2511, 2592, 2673, 2754, 2835, 2916, 2997, 3078, 3159, 3240, 3321, 3402, 3483, 3564, 3645, 3726, 3807, 3888, 3969, 4050, 4131

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087, 3136, 3185, 3234, 3283, 3332, 3381, 3430, 3479, 3528, 3577, 3626, 3675, 3724, 3773, 3822, 3871, 3920, 3969, 4018, 4067

So the LCM for 81 and 49 is 3,969

Finding LCM for 81 and 49 by Prime Factorization

Another method to find LCM for numbers 81 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)

All Prime Factors of 49: 7, 7 (exponent form: 72)

34 × 72 = 3,969

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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 81 and 49? (The answer is: 3,969). Select the first number (e.g. '81') 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
"Least Common Multiple" Calculator
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
81342,754
81352,835
8136324
81372,997
81383,078
81391,053
81403,240
81413,321
81421,134
81433,483
81443,564
8145405
81463,726
81473,807
81481,296
81493,969
81504,050
81511,377
81524,212
81534,293
8154162
81554,455
81564,536
81571,539
81584,698
81594,779
81601,620
81614,941
81625,022
8163567

FAQ

What's the Least Common Multiple (LCM) of 81 and 49?

LCM of 81 and 49 is 3,969

How to find the LCM of 81 and 49 using prime factorization?

To find the LCM of 81 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,969.

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 81 and 49: LCM = 3,969, GCF = 1.

See Also