LCM for 37 and 49

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 37 and 49?

Answer

LCM of 37 and 49 is 1,813

(One thousand, eight hundred thirteen)

Finding LCM for 37 and 49 using GCF of these numbers

The first method to find LCM for numbers 37 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 37 and 49 is 1, so

LCM = (37 × 49) ÷ 1

LCM = 1813 ÷ 1

LCM = 1813

Finding LCM for 37 and 49 by Listing Multiples

The second method to find LCM for numbers 37 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

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, 1221, 1258, 1295, 1332, 1369, 1406, 1443, 1480, 1517, 1554, 1591, 1628, 1665, 1702, 1739, 1776, 1813, 1850, 1887

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, 1911

So the LCM for 37 and 49 is 1813

Finding LCM for 37 and 49 by Prime Factorization

Another method to find LCM for numbers 37 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

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

371 × 72 = 1813

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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 37 and 49? (The answer is: 1813). Select the first number (e.g. '37') 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

and

LCM Table

Number 1Number 2LCM
22491078
23491127
24491176
25491225
26491274
27491323
2849196
29491421
30491470
31491519
32491568
33491617
34491666
3549245
36491764
37491813
38491862
39491911
40491960
41492009
4249294
43492107
44492156
45492205
46492254
47492303
48492352
494949
50492450
51492499

FAQ

What's the Least Common Multiple (LCM) of 37 and 49?

LCM of 37 and 49 is 1,813

How to find the LCM of 37 and 49 using prime factorization?

To find the LCM of 37 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,813.

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 37 and 49: LCM = 1,813, GCF = 1.

See Also