LCM for 81 and 126

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What's the Least Common Multiple (LCM) of 81 and 126?

Answer

LCM of 81 and 126 is
1,134

(One thousand one hundred thirty-four)

Finding LCM for 81 and 126 using GCF of these numbers

The first method to find LCM for numbers 81 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 81 and 126 is 9, so

LCM = (81 × 126) ÷ 9

LCM = 10,206 ÷ 9

LCM = 1,134

Finding LCM for 81 and 126 by Listing Multiples

The second method to find LCM for numbers 81 and 126 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, 1,053, 1,134, 1,215, 1,296

Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1,008, 1,134, 1,260, 1,386

So the LCM for 81 and 126 is 1,134

Finding LCM for 81 and 126 by Prime Factorization

Another method to find LCM for numbers 81 and 126 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 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

34 × 21 × 71 = 1,134

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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 126? (The answer is: 1,134). Select the first number (e.g. '81') and the second number (e.g. '126'). 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
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LCM Table

Number 1Number 2LCM
811112,997
811129,072
811139,153
811143,078
811159,315
811169,396
811171,053
811189,558
811199,639
811203,240
811219,801
811229,882
811233,321
8112410,044
8112510,125
811261,134
8112710,287
8112810,368
811293,483
8113010,530
8113110,611
811323,564
8113310,773
8113410,854
81135405
8113611,016
8113711,097
811383,726
8113911,259
8114011,340

FAQ

What's the Least Common Multiple (LCM) of 81 and 126?

LCM of 81 and 126 is 1,134

How to find the LCM of 81 and 126 using prime factorization?

To find the LCM of 81 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,134.

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 126: LCM = 1,134, GCF = 9.

See Also