LCM for 55 and 250

What's the Least Common Multiple (LCM) of 55 and 250?

Answer: LCM of 55 and 250 is 2,750

(Two thousand, seven hundred fifty)

Finding LCM for 55 and 250 using GCF's of these numbers

The first method to find LCM for numbers 55 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 55 and 250 is 5, so

LCM = (55 × 250) ÷ 5

LCM = 13750 ÷ 5

LCM = 2750

Finding LCM for 55 and 250 by Listing Multiples

The second method to find LCM for numbers 55 and 250 is to list out the common multiples for both nubmers and pick the first which matching:

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, 2310, 2365, 2420, 2475, 2530, 2585, 2640, 2695, 2750, 2805, 2860

Multiples of 250: 250, 500, 750, 1000, 1250, 1500, 1750, 2000, 2250, 2500, 2750, 3000, 3250

So the LCM for 55 and 250 is 2750

Finding LCM for 55 and 250 by Prime Factorization

Another method to find LCM for numbers 55 and 250 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 250: 2, 5, 5, 5 (exponent form: 21, 53)

53 × 111 × 21 = 2750

Related Calculations

LCM Table

Number 1Number 2LCM
402501000
4125010250
422505250
4325010750
442505500
452502250
462505750
4725011750
482506000
4925012250
50250250
5125012750
522506500
5325013250
542506750
55250
562507000
5725014250
582507250
5925014750
60250
6125015250
622507750
6325015750
642508000
652503250
662508250
6725016750
682508500
6925017250

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 55 and 250? (The answer is: 2750). Select the first number (e.g. '55') and the second number (e.g. '250'). 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

FAQ

What's the Least Common Multiple (LCM) of 55 and 250?

LCM of 55 and 250 is 2,750