LCM for 30 and 37

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 37?

Answer

LCM of 30 and 37 is 1,110

(One thousand, one hundred ten)

Finding LCM for 30 and 37 using GCF of these numbers

The first method to find LCM for numbers 30 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 37 is 1, so

LCM = (30 × 37) ÷ 1

LCM = 1110 ÷ 1

LCM = 1110

Finding LCM for 30 and 37 by Listing Multiples

The second method to find LCM for numbers 30 and 37 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170

Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184

So the LCM for 30 and 37 is 1110

Finding LCM for 30 and 37 by Prime Factorization

Another method to find LCM for numbers 30 and 37 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

All Prime Factors of 37: 37 (exponent form: 371)

21 × 31 × 51 × 371 = 1110

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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 30 and 37? (The answer is: 1110). Select the first number (e.g. '30') and the second number (e.g. '37'). 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

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LCM Table

Number 1 Number 2 LCM
15 37 555
16 37 592
17 37 629
18 37 666
19 37 703
20 37 740
21 37 777
22 37 814
23 37 851
24 37 888
25 37 925
26 37 962
27 37 999
28 37 1036
29 37 1073
30 37 1110
31 37 1147
32 37 1184
33 37 1221
34 37 1258
35 37 1295
36 37 1332
37 37 37
38 37 1406
39 37 1443
40 37 1480
41 37 1517
42 37 1554
43 37 1591
44 37 1628

FAQ

What's the Least Common Multiple (LCM) of 30 and 37?
LCM of 30 and 37 is 1,110

How to find the LCM of 30 and 37 using prime factorization?
To find the LCM of 30 and 37, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,110.

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 30 and 37: LCM = 1,110, GCF = 1.

See Also