LCM for 86 and 96

What's the Least Common Multiple (LCM) of 86 and 96?

Answer: LCM of 86 and 96 is 4,128

(Four thousand, one hundred twenty-eight)

Finding LCM for 86 and 96 using GCF's of these numbers

The first method to find LCM for numbers 86 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 86 and 96 is 2, so

LCM = (86 × 96) ÷ 2

LCM = 8256 ÷ 2

LCM = 4128

Finding LCM for 86 and 96 by Listing Multiples

The second method to find LCM for numbers 86 and 96 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 86: 86, 172, 258, 344, 430, 516, 602, 688, 774, 860, 946, 1032, 1118, 1204, 1290, 1376, 1462, 1548, 1634, 1720, 1806, 1892, 1978, 2064, 2150, 2236, 2322, 2408, 2494, 2580, 2666, 2752, 2838, 2924, 3010, 3096, 3182, 3268, 3354, 3440, 3526, 3612, 3698, 3784, 3870, 3956, 4042, 4128, 4214, 4300

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, 1248, 1344, 1440, 1536, 1632, 1728, 1824, 1920, 2016, 2112, 2208, 2304, 2400, 2496, 2592, 2688, 2784, 2880, 2976, 3072, 3168, 3264, 3360, 3456, 3552, 3648, 3744, 3840, 3936, 4032, 4128, 4224, 4320

So the LCM for 86 and 96 is 4128

Finding LCM for 86 and 96 by Prime Factorization

Another method to find LCM for numbers 86 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 86: 2, 43 (exponent form: 21, 431)

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 431 × 31 = 4128

LCM Table

Number 1Number 2LCM
71966816
7296
73967008
74963552
75962400
76961824
77967392
78961248
79967584
8096480
81962592
82963936
83967968
8496
85968160
86964128
87962784
88961056
89968544
90961440
91968736
92962208
93962976
94964512
95969120
969696
97969312
98964704
99963168
100962400

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 86 and 96? (The answer is: 4128). Select the first number (e.g. '86') and the second number (e.g. '96'). 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

FAQ

What's the Least Common Multiple (LCM) of 86 and 96?

LCM of 86 and 96 is 4,128