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LCM for 31 and 96

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 96?

Answer

LCM of 31 and 96 is 2,976

(Two thousand, nine hundred seventy-six)

Finding LCM for 31 and 96 using GCF of these numbers

The first method to find LCM for numbers 31 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 96 is 1, so

LCM = (31 × 96) ÷ 1

LCM = 2976 ÷ 1

LCM = 2976

Finding LCM for 31 and 96 by Listing Multiples

The second method to find LCM for numbers 31 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705, 1736, 1767, 1798, 1829, 1860, 1891, 1922, 1953, 1984, 2015, 2046, 2077, 2108, 2139, 2170, 2201, 2232, 2263, 2294, 2325, 2356, 2387, 2418, 2449, 2480, 2511, 2542, 2573, 2604, 2635, 2666, 2697, 2728, 2759, 2790, 2821, 2852, 2883, 2914, 2945, 2976, 3007, 3038

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

So the LCM for 31 and 96 is 2976

Finding LCM for 31 and 96 by Prime Factorization

Another method to find LCM for numbers 31 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 31: 31 (exponent form: 311)

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

311 × 25 × 31 = 2976

See Also

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What is the LCM of 31 and 96?. Find the LCM of 31 and 96 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/31--96/generated.jpgCopy

LCM Table

Number 1Number 2LCM
169696
17961632
1896288
19961824
2096480
2196672
22961056
23962208
249696
25962400
26961248
2796864
2896672
29962784
3096480
31962976
329696
33961056
34961632
35963360
3696288
37963552
38961824
39961248
4096480
41963936
4296672
43964128
44961056
45961440

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 31 and 96? (The answer is: 2976). Select the first number (e.g. '31') 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 31 and 96?

LCM of 31 and 96 is 2,976

How to find the LCM of 31 and 96 using prime factorization?

To find the LCM of 31 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,976.

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 31 and 96: LCM = 2,976, GCF = 1.