LCM for 81 and 180

What's the Least Common Multiple (LCM) of 81 and 180?

Answer: LCM of 81 and 180 is 1,620

(One thousand, six hundred twenty)

Finding LCM for 81 and 180 using GCF's of these numbers

The first method to find LCM for numbers 81 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 81 and 180 is 9, so

LCM = (81 × 180) ÷ 9

LCM = 14580 ÷ 9

LCM = 1620

Finding LCM for 81 and 180 by Listing Multiples

The second method to find LCM for numbers 81 and 180 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 81: 81, 162, 243, 324, 405, 486, 567, 648, 729, 810, 891, 972, 1053, 1134, 1215, 1296, 1377, 1458, 1539, 1620, 1701, 1782

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980

So the LCM for 81 and 180 is 1620

Finding LCM for 81 and 180 by Prime Factorization

Another method to find LCM for numbers 81 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

34 × 22 × 51 = 1620

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 81 and 180? (The answer is: 1620). Select the first number (e.g. '81') and the second number (e.g. '180'). 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
661801980
6718012060
681803060
691804140
701801260
7118012780
72180
7318013140
741806660
75180900
761803420
7718013860
781802340
7918014220
80180720
81180
821807380
8318014940
841801260
851803060
861807740
871805220
881803960
8918016020
90180180
9118016380
921804140
931805580
941808460
951803420

FAQ

What's the Least Common Multiple (LCM) of 81 and 180?

LCM of 81 and 180 is 1,620