LCM for 36 and 49

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 49?

Answer

LCM of 36 and 49 is 1,764

(One thousand, seven hundred sixty-four)

Finding LCM for 36 and 49 using GCF of these numbers

The first method to find LCM for numbers 36 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 49 is 1, so

LCM = (36 × 49) ÷ 1

LCM = 1764 ÷ 1

LCM = 1764

Finding LCM for 36 and 49 by Listing Multiples

The second method to find LCM for numbers 36 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862

So the LCM for 36 and 49 is 1764

Finding LCM for 36 and 49 by Prime Factorization

Another method to find LCM for numbers 36 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 49: 7, 7 (exponent form: 72)

22 × 32 × 72 = 1764

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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 36 and 49? (The answer is: 1764). Select the first number (e.g. '36') and the second number (e.g. '49'). 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
21 49 147
22 49 1078
23 49 1127
24 49 1176
25 49 1225
26 49 1274
27 49 1323
28 49 196
29 49 1421
30 49 1470
31 49 1519
32 49 1568
33 49 1617
34 49 1666
35 49 245
36 49 1764
37 49 1813
38 49 1862
39 49 1911
40 49 1960
41 49 2009
42 49 294
43 49 2107
44 49 2156
45 49 2205
46 49 2254
47 49 2303
48 49 2352
49 49 49
50 49 2450

FAQ

What's the Least Common Multiple (LCM) of 36 and 49?
LCM of 36 and 49 is 1,764

How to find the LCM of 36 and 49 using prime factorization?
To find the LCM of 36 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,764.

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 36 and 49: LCM = 1,764, GCF = 1.

See Also