LCM for 39 and 55

What's the Least Common Multiple (LCM) of 39 and 55?

Answer: LCM of 39 and 55 is 2,145

(Two thousand, one hundred forty-five)

Finding LCM for 39 and 55 using GCF's of these numbers

The first method to find LCM for numbers 39 and 55 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 39 and 55 is 1, so

LCM = (39 × 55) ÷ 1

LCM = 2145 ÷ 1

LCM = 2145

Finding LCM for 39 and 55 by Listing Multiples

The second method to find LCM for numbers 39 and 55 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911, 1950, 1989, 2028, 2067, 2106, 2145, 2184, 2223

Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935, 990, 1045, 1100, 1155, 1210, 1265, 1320, 1375, 1430, 1485, 1540, 1595, 1650, 1705, 1760, 1815, 1870, 1925, 1980, 2035, 2090, 2145, 2200, 2255

So the LCM for 39 and 55 is 2145

Finding LCM for 39 and 55 by Prime Factorization

Another method to find LCM for numbers 39 and 55 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 39: 3, 13 (exponent form: 31, 131)

All Prime Factors of 55: 5, 11 (exponent form: 51, 111)

31 × 131 × 51 × 111 = 2145

Related Calculations

See Also

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 39 and 55? (The answer is: 2145). Select the first number (e.g. '39') and the second number (e.g. '55'). 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

LCM Table

Number 1Number 2LCM
24551320
2555
26551430
27551485
28551540
29551595
3055330
31551705
32551760
3355
34551870
3555385
36551980
37552035
38552090
3955
4055
41552255
42552310
43552365
4455
4555495
46552530
47552585
48552640
49552695
5055550
51552805
52552860
53552915

FAQ

What's the Least Common Multiple (LCM) of 39 and 55?

LCM of 39 and 55 is 2,145