LCM for 48 and 74

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 48 and 74?

Answer: LCM of 48 and 74 is 1,776

(One thousand, seven hundred seventy-six)

Finding LCM for 48 and 74 using GCF's of these numbers

The first method to find LCM for numbers 48 and 74 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 74 is 2, so

LCM = (48 × 74) ÷ 2

LCM = 3552 ÷ 2

LCM = 1776

Finding LCM for 48 and 74 by Listing Multiples

The second method to find LCM for numbers 48 and 74 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872

Multiples of 74: 74, 148, 222, 296, 370, 444, 518, 592, 666, 740, 814, 888, 962, 1036, 1110, 1184, 1258, 1332, 1406, 1480, 1554, 1628, 1702, 1776, 1850, 1924

So the LCM for 48 and 74 is 1776

Finding LCM for 48 and 74 by Prime Factorization

Another method to find LCM for numbers 48 and 74 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 74: 2, 37 (exponent form: 21, 371)

24 × 31 × 371 = 1776

Related Calculations

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LCM Table

Number 1Number 2LCM
33742442
34741258
35742590
36741332
377474
38741406
39742886
40741480
41743034
42741554
43743182
44741628
45743330
46741702
47743478
48741776
49743626
50741850
51743774
52741924
53743922
54741998
55744070
56742072
57744218
58742146
59744366
60742220
61744514
62742294

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 48 and 74? (The answer is: 1776). Select the first number (e.g. '48') and the second number (e.g. '74'). 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 48 and 74?

LCM of 48 and 74 is 1,776

See Also