LCM for 112 and 128

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 112 and 128?

Answer: LCM of 112 and 128 is 896

(Eight hundred ninety-six)

Finding LCM for 112 and 128 using GCF's of these numbers

The first method to find LCM for numbers 112 and 128 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 112 and 128 is 16, so

LCM = (112 × 128) ÷ 16

LCM = 14336 ÷ 16

LCM = 896

Finding LCM for 112 and 128 by Listing Multiples

The second method to find LCM for numbers 112 and 128 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 112: 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120

Multiples of 128: 128, 256, 384, 512, 640, 768, 896, 1024, 1152

So the LCM for 112 and 128 is 896

Finding LCM for 112 and 128 by Prime Factorization

Another method to find LCM for numbers 112 and 128 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

All Prime Factors of 128: 2, 2, 2, 2, 2, 2, 2 (exponent form: 27)

27 × 71 = 896

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LCM Table

Number 1Number 2LCM
9712812416
981286272
9912812672
1001283200
10112812928
1021286528
10312813184
1041281664
10512813440
1061286784
10712813696
1081283456
10912813952
1101287040
11112814208
112128896
11312814464
1141287296
11512814720
1161283712
11712814976
1181287552
11912815232
1201281920
12112815488
1221287808
12312815744
1241283968
12512816000
1261288064

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 112 and 128? (The answer is: 896). Select the first number (e.g. '112') and the second number (e.g. '128'). 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 112 and 128?

LCM of 112 and 128 is 896

See Also