LCM for 81 and 84

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 81 and 84?

Answer: LCM of 81 and 84 is 2,268

(Two thousand, two hundred sixty-eight)

Finding LCM for 81 and 84 using GCF's of these numbers

The first method to find LCM for numbers 81 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 81 and 84 is 3, so

LCM = (81 × 84) ÷ 3

LCM = 6804 ÷ 3

LCM = 2268

Finding LCM for 81 and 84 by Listing Multiples

The second method to find LCM for numbers 81 and 84 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268, 2352, 2436

So the LCM for 81 and 84 is 2268

Finding LCM for 81 and 84 by Prime Factorization

Another method to find LCM for numbers 81 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

34 × 22 × 71 = 2268

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 81 and 84? (The answer is: 2268). Select the first number (e.g. '81') and the second number (e.g. '84'). 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

LCM Table

Number 1Number 2LCM
6684924
67845628
68841428
69841932
7084420
71845964
7284504
73846132
74843108
75842100
76841596
7784924
78841092
79846636
80841680
81842268
82843444
83846972
848484
85847140
86843612
87842436
88841848
89847476
90841260
91841092
92841932
93842604
94843948
95847980

FAQ

What's the Least Common Multiple (LCM) of 81 and 84?

LCM of 81 and 84 is 2,268

See Also