LCM for 72 and 224

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 224?

Answer: LCM of 72 and 224 is 2,016

(Two thousand, sixteen)

Finding LCM for 72 and 224 using GCF's of these numbers

The first method to find LCM for numbers 72 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 224 is 8, so

LCM = (72 × 224) ÷ 8

LCM = 16128 ÷ 8

LCM = 2016

Finding LCM for 72 and 224 by Listing Multiples

The second method to find LCM for numbers 72 and 224 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160

Multiples of 224: 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240, 2464

So the LCM for 72 and 224 is 2016

Finding LCM for 72 and 224 by Prime Factorization

Another method to find LCM for numbers 72 and 224 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)

25 × 32 × 71 = 2016

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LCM Table

Number 1Number 2LCM
5722412768
582246496
5922413216
602243360
6122413664
622246944
632242016
64224448
6522414560
662247392
6722415008
682243808
6922415456
702241120
7122415904
722242016
7322416352
742248288
7522416800
762244256
772242464
782248736
7922417696
802241120
8122418144
822249184
8322418592
84224672
8522419040
862249632

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 72 and 224? (The answer is: 2016). Select the first number (e.g. '72') and the second number (e.g. '224'). 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 72 and 224?

LCM of 72 and 224 is 2,016

See Also